The Experts below are selected from a list of 9786 Experts worldwide ranked by ideXlab platform
Zhenya Yan - One of the best experts on this subject based on the ideXlab platform.
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new envelope solutions for complex nonlinear schrodinger equation via symbolic computation
International Journal of Modern Physics C, 2003Co-Authors: Zhenya YanAbstract:With the aid of symbolic computation, an extended Jacobian elliptic Function expansion method is further extended to the complex nonlinear Schrodinger+ equation. As a result, 24 families of the envelope doubly-periodic solutions with Jacobian elliptic Functions are obtained. When the modulus m → 1 or zero, the corresponding six envelope solitary wave solutions and six envelope singly-periodic (Trigonometric Function) solutions are also found. This powerful method can also be applied to other equations, such as the nonlinear Schrodinger equation and Zakharov equation.
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the extended jacobian elliptic Function expansion method and its application in the generalized hirota satsuma coupled kdv system
Chaos Solitons & Fractals, 2003Co-Authors: Zhenya YanAbstract:Abstract In this paper an extended Jacobian elliptic Function expansion method, which is a direct and more powerful method, is used to construct more new exact doubly periodic solutions of the generalized Hirota–Satsuma coupled KdV system by using symbolic computation. As a result, sixteen families of new doubly periodic solutions are obtained which shows that the method is more powerful. When the modulus of the Jacobian elliptic Functions m →1 or 0, the corresponding six solitary wave solutions and six Trigonometric Function (singly periodic) solutions are also found. The method is also applied to other higher-dimensional nonlinear evolution equations in mathematical physics.
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extended jacobian elliptic Function algorithm with symbolic computation to construct new doubly periodic solutions of nonlinear differential equations
Computer Physics Communications, 2002Co-Authors: Zhenya YanAbstract:Abstract With the aid of computerized symbolic computation, the extended Jacobian elliptic Function expansion method and its algorithm are presented by using some relations among ten Jacobian elliptic Functions and are very powerful to construct more new exact doubly-periodic solutions of nonlinear differential equations in mathematical physics. The new (2+1)-dimensional complex nonlinear evolution equations is chosen to illustrate our algorithm such that sixteen families of new doubly-periodic solutions are obtained. When the modulus m →1 or 0, these doubly-periodic solutions degenerate as solitonic solutions including bright solitons, dark solitons, new solitons as well as Trigonometric Function solutions.
M A Abdou - One of the best experts on this subject based on the ideXlab platform.
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new exact travelling wave solutions for the generalized nonlinear schroedinger equation with a source
Chaos Solitons & Fractals, 2008Co-Authors: M A AbdouAbstract:Abstract The generalized F-expansion method with a computerized symbolic computation is used for constructing a new exact travelling wave solutions for the generalized nonlinear Schrodinger equation with a source. As a result, many exact travelling wave solutions are obtained which include new periodic wave solution, Trigonometric Function solutions and rational solutions. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in physics.
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a generalized auxiliary equation method and its applications
Nonlinear Dynamics, 2008Co-Authors: M A AbdouAbstract:In this paper, a generalized auxiliary equation method with the aid of the computer symbolic computation system Maple is proposed to construct more exact solutions of nonlinear evolution equations, namely, the higher-order nonlinear Schrodinger equation, the Whitham–Broer–Kaup system, and the generalized Zakharov equations. As a result, some new types of exact travelling wave solutions are obtained, including soliton-like solutions, Trigonometric Function solutions, exponential solutions, and rational solutions. The method is straightforward and concise, and its applications are promising.
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new exact travelling wave solutions of two nonlinear physical models
Nonlinear Analysis-theory Methods & Applications, 2008Co-Authors: S A Elwakil, M A AbdouAbstract:Abstract In this paper, an improved tanh Function method is used with a computerized symbolic computation for constructing new exact travelling wave solutions on two nonlinear physical models namely, the quantum Zakharov equations and the (2+1)-dimensional Broer–Kaup–Kupershmidt (BKK) system. The main idea of this method is to take full advantage of the Riccati equation which has more new solutions.The exact solutions are obtained which include new soliton-like solutions, Trigonometric Function solutions and rational solutions. The method is straightforward and concise, and its applications are promising.
Sheng Zhang - One of the best experts on this subject based on the ideXlab platform.
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variable separation method for a nonlinear time fractional partial differential equation with forcing term
Journal of Computational and Applied Mathematics, 2017Co-Authors: Sheng Zhang, Siyu HongAbstract:Abstract In this paper, a variable-coefficient nonlinear time fractional partial differential equation (PDE) with initial and boundary conditions is solved by using the variable separation method. As a result, some new explicit and exact solutions of the time fractional PDE are obtained including Airy Function solution, hyperbolic Function solution, Trigonometric Function solution and rational solution. It is shown that the variable separation method can provide a useful mathematical tool for solving some other nonlinear time fractional PDEs in science and engineering.
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variable coefficient jacobi elliptic Function expansion method for 2 1 dimensional nizhnik novikov vesselov equations
Applied Mathematics and Computation, 2011Co-Authors: Sheng Zhang, Tiecheng XiaAbstract:Abstract In this paper, a variable-coefficient Jacobi elliptic Function expansion method is proposed to seek more general exact solutions of nonlinear partial differential equations. Being concise and straightforward, this method is applied to the (2+1)-dimensional Nizhnik–Novikov–Vesselov equations. As a result, many new and more general exact non-travelling wave and coefficient Function solutions are obtained including Jacobi elliptic Function solutions, soliton-like solutions and Trigonometric Function solutions. To give more physical insights to the obtained solutions, we present graphically their representative structures by setting the arbitrary Functions in the solutions as specific Functions.
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a generalized g g expansion method for the mkdv equation with variable coefficients
Physics Letters A, 2008Co-Authors: Sheng Zhang, Jinglin Tong, Wei WangAbstract:Abstract In this Letter, a generalized ( G ′ G ) -expansion method is proposed to seek exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the mKdV equation with variable coefficients. As a result, hyperbolic Function solution, Trigonometric Function solution and rational solution with parameters are obtained. When the parameters are taken as special values, two known kink-type solitary wave solutions are derived from the hyperbolic Function solution. It is shown that the proposed method is direct, effective and can be used for many other nonlinear evolution equations in mathematical physics.
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a generalized new auxiliary equation method and its application to the 2 1 dimensional breaking soliton equations
Applied Mathematics and Computation, 2007Co-Authors: Sheng ZhangAbstract:Abstract In this paper, the new auxiliary equation method [Sirendaoreji, A new auxiliary equation and exact travelling wave solutions of non-linear equations, Phys. Lett. A 356 (2006) 124–130] is improved and a generalized new auxiliary equation method is proposed to construct more general exact solutions of non-linear partial differential equations. With the aid of symbolic computation, we choose the (2 + 1)-dimensional breaking soliton equations to illustrate the validity and advantages of the method. As a result, many new and more general non-travelling wave and coefficient Function solutions are obtained including soliton-like solutions, Trigonometric Function solutions, exponential solutions.
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a generalized auxiliary equation method and its application to the 2 1 dimensional kdv equations
Applied Mathematics and Computation, 2007Co-Authors: Sheng ZhangAbstract:Abstract In this paper, a generalized auxiliary equation method is proposed to construct more general exact solutions of nonlinear partial differential equations. As an application of the method, the (2 + 1)-dimensional Korteweg–de Vries equations are considered. As a result, many new and more general non-travelling wave and coefficient Function solutions are obtained including soliton-like solutions, Trigonometric Function solutions, exponential solutions and rational solutions.
Bowen Wang - One of the best experts on this subject based on the ideXlab platform.
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accurate and fast harmonic detection based on the generalized Trigonometric Function delayed signal cancellation
IEEE Access, 2019Co-Authors: Manlin Chen, Li Peng, Bowen WangAbstract:The abundant grid-connected power electronic devices and non-linear loads used widely have caused power system harmonic pollution. Harmonic detection is very important for selective harmonic compensation used to improve the power quality. To detect the individual harmonic component accurately and fast, a harmonic extraction based on generalized Trigonometric Function delayed signal cancellation (GTFDSC) is proposed to extract the fundamental component or the desired harmonic component. The proposed GTFDSC can be used to accurately extract the desired harmonic component under various harmonic scenarios because of its excellent filtering capability. What’s more, the parameters of the GTFDSC can be flexibly designed according to the distribution of the harmonic series of the input signal, thereby reducing the delay time and the number of operators. Furthermore, the GTFDSC is self-adjustable to fundamental frequency deviations by introducing the frequency feedback loop, and it is able to achieve excellent filtering capability and fast dynamic performances. Lastly, the experimental results are provided to verify the effectiveness of the proposed method.
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pll based on extended Trigonometric Function delayed signal cancellation under various adverse grid conditions
Iet Power Electronics, 2018Co-Authors: Manlin Chen, Li Peng, Bowen Wang, Jingbo KanAbstract:Phase-locked loop (PLL) plays an important role in the grid-connected converters. PLL should have the ability of filtering the harmonics under the non-ideal grid voltage. Recently, the signal cancellation technique is one of the advanced methods for filtering the harmonics. However, the existing signal cancellation techniques are not able to filter all harmonics by finite operators. This study proposes an extended Trigonometric Function delay signal cancellation (ETFDSC) to filter all harmonics completely under the adverse grid conditions. Furthermore, the proposed ETFDSC can be flexibly applied to eliminate the harmonic series fast under the various grid conditions. Consequently, a novel PLL based on the ETFDSC (ETFDSC-PLL) is designed to track the grid phase very accurately and fast. It is noteworthy that the grid phase can be extremely fast detected by proposed ETFDSC-PLL under some adverse grid conditions, especially under unbalanced conditions. Furthermore, the ETFDSC-PLL is self-adjustable to the fundamental frequency deviations, and the excellent filtering capability and fast dynamic response can be achieved, even under large frequency variations. Finally, the simulation and experimental results are presented to validate the filtering capability and transient performances of the proposed PLL.
Manlin Chen - One of the best experts on this subject based on the ideXlab platform.
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accurate and fast harmonic detection based on the generalized Trigonometric Function delayed signal cancellation
IEEE Access, 2019Co-Authors: Manlin Chen, Li Peng, Bowen WangAbstract:The abundant grid-connected power electronic devices and non-linear loads used widely have caused power system harmonic pollution. Harmonic detection is very important for selective harmonic compensation used to improve the power quality. To detect the individual harmonic component accurately and fast, a harmonic extraction based on generalized Trigonometric Function delayed signal cancellation (GTFDSC) is proposed to extract the fundamental component or the desired harmonic component. The proposed GTFDSC can be used to accurately extract the desired harmonic component under various harmonic scenarios because of its excellent filtering capability. What’s more, the parameters of the GTFDSC can be flexibly designed according to the distribution of the harmonic series of the input signal, thereby reducing the delay time and the number of operators. Furthermore, the GTFDSC is self-adjustable to fundamental frequency deviations by introducing the frequency feedback loop, and it is able to achieve excellent filtering capability and fast dynamic performances. Lastly, the experimental results are provided to verify the effectiveness of the proposed method.
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pll based on extended Trigonometric Function delayed signal cancellation under various adverse grid conditions
Iet Power Electronics, 2018Co-Authors: Manlin Chen, Li Peng, Bowen Wang, Jingbo KanAbstract:Phase-locked loop (PLL) plays an important role in the grid-connected converters. PLL should have the ability of filtering the harmonics under the non-ideal grid voltage. Recently, the signal cancellation technique is one of the advanced methods for filtering the harmonics. However, the existing signal cancellation techniques are not able to filter all harmonics by finite operators. This study proposes an extended Trigonometric Function delay signal cancellation (ETFDSC) to filter all harmonics completely under the adverse grid conditions. Furthermore, the proposed ETFDSC can be flexibly applied to eliminate the harmonic series fast under the various grid conditions. Consequently, a novel PLL based on the ETFDSC (ETFDSC-PLL) is designed to track the grid phase very accurately and fast. It is noteworthy that the grid phase can be extremely fast detected by proposed ETFDSC-PLL under some adverse grid conditions, especially under unbalanced conditions. Furthermore, the ETFDSC-PLL is self-adjustable to the fundamental frequency deviations, and the excellent filtering capability and fast dynamic response can be achieved, even under large frequency variations. Finally, the simulation and experimental results are presented to validate the filtering capability and transient performances of the proposed PLL.
