The Experts below are selected from a list of 78525 Experts worldwide ranked by ideXlab platform
Turgut Öziş - One of the best experts on this subject based on the ideXlab platform.
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An observation on the periodic solutions to Nonlinear physical models by means of the auxiliary equation with a sixth-degree Nonlinear Term
Communications in Nonlinear Science and Numerical Simulation, 2013Co-Authors: Zehra Pinar, Turgut ÖzişAbstract:Abstract It is a fact that in auxiliary equation methods, the exact solutions of different types of auxiliary equations may produce new types of exact travelling wave solutions to Nonlinear equations. In this manner, various auxiliary equations of first-order Nonlinear ordinary differential equation with distinct-degree Nonlinear Terms are examined and, by means of symbolic computation, the new solutions of original auxiliary equation of first-order Nonlinear ordinary differential equation with sixth-degree Nonlinear Term are presented. Consequently, the novel exact solutions of the generalized Klein–Gordon equation and the active-dissipative dispersive media equation are found out for illustration purposes. They are also applicable, where conventional perturbation method fails to provide any solution of the Nonlinear problems under study.
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The Periodic Solutions to Kawahara Equation by Means of the Auxiliary Equation with a Sixth-Degree Nonlinear Term
Journal of Mathematics, 2013Co-Authors: Zehra Pinar, Turgut ÖzişAbstract:It is well known that different types of exact solutions of an auxiliary equation produce new types of exact travelling wave solutions to Nonlinear equations. In this paper, by means of symbolic computation, the new solutions of original auxiliary equation of first-order Nonlinear ordinary differential equation with a sixth-degree Nonlinear Term are presented to obtain novel exact solutions of the Kawahara equation. By the aid of the solutions of the original auxiliary equation, some other physically important Nonlinear equations can be solved to construct novel exact solutions.
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Solutions of Modified Equal Width Equation by Means of the Auxiliary Equation with a Sixth-Degree Nonlinear Term
Lecture Notes in Electrical Engineering, 2012Co-Authors: Zehra Pinar, Turgut ÖzişAbstract:In this paper, by means of symbolic computation, the new solutions of original auxiliary equation of first-order Nonlinear ordinary differential equation with sixth-degree Nonlinear Term are presented to obtain novel exact solutions of the modified equal width equation. By the aid of the solutions of the original auxiliary equation; some other physically important Nonlinear equations can be solved to construct novel exact solutions.
Gabriele Bonanno - One of the best experts on this subject based on the ideXlab platform.
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an existence result of one nontrivial solution for two point boundary value problems
Bulletin of The Australian Mathematical Society, 2011Co-Authors: Gabriele Bonanno, Angela SciammettaAbstract:Abstract. Existence results of positive solutions for a two point boundary value problem are established. No asymptotic condition on the Nonlinear Term either at zero or at infinity is requested. A classical result of Erbe and Wang is improved. The approach is based on variational methods.
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Infinitely many solutions for a fourth-order elastic beam equation
Nonlinear Differential Equations and Applications NoDEA, 2011Co-Authors: Gabriele Bonanno, Beatrice Di BellaAbstract:Existence results of infinitely many solutions for a fourth-order Nonlinear boundary value problem are established. No symmetric condition on the Nonlinear Term is assumed. The main tool is an infinitely many critical points theorem.
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Non-trivial solutions for Nonlinear fourth-order elastic beam equations
Computers & Mathematics with Applications, 2011Co-Authors: Gabriele Bonanno, Beatrice Di Bella, Donal O'reganAbstract:Abstract The existence of at least one non-trivial solution to a boundary value problem for fourth-order elastic beam equations, under a non-standard growth condition of the Nonlinear Term, is established. Our approach is based on a local minimum theorem for differentiable functionals.
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Multiplicity Results for a Perturbed Elliptic Neumann Problem
Abstract and Applied Analysis, 2010Co-Authors: Gabriele Bonanno, Giuseppina D'aguìAbstract:The existence of three solutions for elliptic Neumann problems with a perturbed Nonlinear Term depending on two real parameters is investigated. Our approach is based on variational methods.
Zehra Pinar - One of the best experts on this subject based on the ideXlab platform.
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An observation on the periodic solutions to Nonlinear physical models by means of the auxiliary equation with a sixth-degree Nonlinear Term
Communications in Nonlinear Science and Numerical Simulation, 2013Co-Authors: Zehra Pinar, Turgut ÖzişAbstract:Abstract It is a fact that in auxiliary equation methods, the exact solutions of different types of auxiliary equations may produce new types of exact travelling wave solutions to Nonlinear equations. In this manner, various auxiliary equations of first-order Nonlinear ordinary differential equation with distinct-degree Nonlinear Terms are examined and, by means of symbolic computation, the new solutions of original auxiliary equation of first-order Nonlinear ordinary differential equation with sixth-degree Nonlinear Term are presented. Consequently, the novel exact solutions of the generalized Klein–Gordon equation and the active-dissipative dispersive media equation are found out for illustration purposes. They are also applicable, where conventional perturbation method fails to provide any solution of the Nonlinear problems under study.
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The Periodic Solutions to Kawahara Equation by Means of the Auxiliary Equation with a Sixth-Degree Nonlinear Term
Journal of Mathematics, 2013Co-Authors: Zehra Pinar, Turgut ÖzişAbstract:It is well known that different types of exact solutions of an auxiliary equation produce new types of exact travelling wave solutions to Nonlinear equations. In this paper, by means of symbolic computation, the new solutions of original auxiliary equation of first-order Nonlinear ordinary differential equation with a sixth-degree Nonlinear Term are presented to obtain novel exact solutions of the Kawahara equation. By the aid of the solutions of the original auxiliary equation, some other physically important Nonlinear equations can be solved to construct novel exact solutions.
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Solutions of Modified Equal Width Equation by Means of the Auxiliary Equation with a Sixth-Degree Nonlinear Term
Lecture Notes in Electrical Engineering, 2012Co-Authors: Zehra Pinar, Turgut ÖzişAbstract:In this paper, by means of symbolic computation, the new solutions of original auxiliary equation of first-order Nonlinear ordinary differential equation with sixth-degree Nonlinear Term are presented to obtain novel exact solutions of the modified equal width equation. By the aid of the solutions of the original auxiliary equation; some other physically important Nonlinear equations can be solved to construct novel exact solutions.
Juan J Nieto - One of the best experts on this subject based on the ideXlab platform.
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anti periodic fractional boundary value problems with Nonlinear Term depending on lower order derivative
Fractional Calculus and Applied Analysis, 2012Co-Authors: Bashir Ahmad, Juan J NietoAbstract:This paper studies a new class of anti-periodic boundary value problems of fractional differential equations with Nonlinear Term depending on lower order fractional derivative. Some existence and uniqueness results are obtained by applying some standard fixed point principles. Several examples are given to illustrate the results.
Krzysztof Kutak - One of the best experts on this subject based on the ideXlab platform.
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saturation effects in qcd from linear transport equation
arXiv: High Energy Physics - Phenomenology, 2010Co-Authors: Krzysztof KutakAbstract:We show that the GBW saturation model provides an exact solution to the one-dimensional linear transport equation. We also show that it is motivated by the BK equation considered in the saturated regime when the diffusion and the splitting Term in the diffusive approximation are balanced by the Nonlinear Term.
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saturation and linear transport equation
Physics Letters B, 2009Co-Authors: Krzysztof KutakAbstract:We show that the GBW saturation model provides an exact solution to the one-dimensional linear transport equation. We also show that it is motivated by the BK equation considered in the saturated regime when the diffusion and the splitting Term in the diffusive approximation are balanced by the Nonlinear Term.
