The Experts below are selected from a list of 46452 Experts worldwide ranked by ideXlab platform
Anjan Biswas - One of the best experts on this subject based on the ideXlab platform.
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Solitary Wave solutions of the Vakhnenko-Parkes equation
Nonlinear Analysis: Modelling and Control, 2012Co-Authors: Fayequa B. Majid, Houria Triki, Tasawar Hayat, Omar M. Aldossary, Anjan Biswas, Alabama Agricultural, Saudi ArabiaAbstract:In this paper, two Solitary Wave solutions are obtained for the Vakhnenko-Parkes equation with power law nonlinearity by the ansatz method. Both topological as well as non-topological Solitary Wave solutions are obtained. The parameter regimes, for the existence of Solitary Waves, are identified during the derivation of the solution.
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Solitary Wave solution for the generalized kdv equation with time dependent damping and dispersion
Communications in Nonlinear Science and Numerical Simulation, 2009Co-Authors: Anjan BiswasAbstract:Abstract The Solitary Wave solution of the generalized KdV equation is obtained in this paper in presence of time-dependent damping and dispersion. The approach is from a Solitary Wave ansatze that leads to the exact solution. A particular example is also considered to complete the analysis.
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Solitary Wave solution for kdv equation with power law nonlinearity and time dependent coefficients
Nonlinear Dynamics, 2009Co-Authors: Anjan BiswasAbstract:This paper obtains an exact Solitary Wave solution of the Korteweg–de Vries equation with power law nonlinearity with time-dependent coefficients of the nonlinear as well as the dispersion terms. In addition, there are time-dependent damping and dispersion terms. The Solitary Wave ansatz is used to carry out the analysis. It is only necessary for the time-dependent coefficients to be Riemann integrable. As an example, the solution of the special case of cylindrical KdV equation falls out.
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Solitary Wave solution for the generalized kawahara equation
Applied Mathematics Letters, 2009Co-Authors: Anjan BiswasAbstract:Abstract The travelling Wave ansatz is used to find the Solitary Wave solution of the generalized Kawahara equation. The ansatz is obtained from the structure of the soliton solution of the Kawahara equation and the modified Kawahara equation. The first two integrals of motion of the generalized Kawahara equation are also computed in this work.
V F Nesterenko - One of the best experts on this subject based on the ideXlab platform.
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multiscale tunability of Solitary Wave dynamics in tensegrity metamaterials
Applied Physics Letters, 2014Co-Authors: Fernando Fraternali, Gerardo Carpentieri, Ada Amendola, Robert E Skelton, V F NesterenkoAbstract:A class of strongly nonlinear metamaterials based on tensegrity concepts is proposed, and the Solitary Wave dynamics under impact loading is investigated. Such systems can be tuned into elastic hardening or elastic softening regimes by adjusting local and global prestress. In the softening regime these metamaterials are able to transform initially compression pulse into a Solitary rarefaction Wave followed by oscillatory tail with progressively decreasing amplitude. Interaction of a compression Solitary pulse with an interface between elastically hardening and softening materials having correspondingly low-high acoustic impedances demonstrates anomalous behavior: a train of reflected compression Solitary Waves in the low impedance material; and a transmitted Solitary rarefaction Wave with oscillatory tail in high impedance material. The interaction of a rarefaction Solitary Wave with an interface between elastically softening and elastically hardening materials with high-low impedances also demonstrates anomalous behavior: a reflected Solitary rarefaction Wave with oscillatory tail in the high impedance branch; and a delayed train of transmitted compression Solitary pulses in the low impedance branch. These anomalous impact transformation properties may allow for the design of ultimate impact mitigation devices without relying on energy dissipation.
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multiscale tunability of Solitary Wave dynamics in tensegrity metamaterials
arXiv: Materials Science, 2014Co-Authors: Fernando Fraternali, Gerardo Carpentieri, Ada Amendola, Robert E Skelton, V F NesterenkoAbstract:A new class of strongly nonlinear metamaterials based on tensegrity concepts is proposed and the Solitary Wave dynamics under impact loading is investigated. Such systems can be tuned into elastic hardening or elastic softening regimes by adjusting local and global prestress. In the softening regime these metamaterials are able to transform initially compression pulse into a Solitary rarefaction Wave followed by oscillatory tail with progressively decreasing amplitude. Interaction of a compression Solitary pulse with an interface between elastically hardening and softening materials having correspondingly low-high acoustic impedances demonstrates anomalous behavior: a train of reflected compression Solitary Waves in the low impedance material; and a transmitted Solitary rarefaction Wave with oscillatory tail in high impedance material. The interaction of a rarefaction Solitary Wave with an interface between elastically softening and elastically hardening materials with high-low impedances also demonstrates anomalous behavior: a reflected Solitary rarefaction Wave with oscillatory tail in the high impedance branch; and a delayed train of transmitted compression Solitary pulses in the low impedance branch. These anomalous impact transformation properties may allow for the design of ultimate impact mitigation devices without relying on energy dissipation.
Wen-shan Duan - One of the best experts on this subject based on the ideXlab platform.
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Particle-in-Cell Simulation of the Reflection of a Korteweg-de Vries Solitary Wave and an Envelope Solitary Wave at a Solid Boundary
Chinese Physics Letters, 2016Co-Authors: Jie Zhang, Heng Zhang, Wen-shan DuanAbstract:Reflections of a Korteweg-de Vries (KdV) Solitary Wave and an envelope Solitary Wave are studied by using the particle-in-cell simulation method. Defining the phase shift of the reflected Solitary Wave, we notice that there is a phase shift of the reflected KdV Solitary Wave, while there is no phase shift for an envelope Solitary Wave. It is also noted that the reflection of a KdV Solitary Wave at a solid boundary is equivalent to the head-on collision between two identical amplitude Solitary Waves.
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Head-on collision and overtaking collision between an envelope Solitary Wave and a KdV Solitary Wave in a dusty plasma.
Scientific reports, 2016Co-Authors: Heng Zhang, Wen-shan Duan, Lei YangAbstract:Head-on collision and overtaking collision between a KdV Solitary Wave and an envelope Solitary Wave are first studied in present paper by using Particle-in-cell (PIC) method in a dusty plasma. There are phase shifts of the KdV Solitary Wave in both head-on collision and the overtaking collision, while no phase shift is found for the envelop Solitary Wave in any cases. The remarkable difference between head-on collision and the overtaking collision is that the phase shift of KdV Solitary Wave increases as amplitude of KdV Solitary Wave increases in head-on collision, while it decreases as amplitude of the KdV Solitary Wave increases in the overtaking collision. It is found that the maximum amplitude during the collision process is less than sum of two amplitudes of both Solitary Waves, but is larger than either of the amplitude.
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effects of damping Solitary Wave in a viscosity bounded plasma
Physics of Plasmas, 2014Co-Authors: Xue Yang, Wen-shan DuanAbstract:In this paper, the propagation of Solitary Waves in a bounded plasma is theoretically investigated in terms of finite geometry. We employ the reductive perturbation theory to derive a quasi KdV equation, which characterizes the damping Solitary Wave in terms of kinematic viscosity coefficient ν′ and radius R. It is noted that the damping rate increases as ν′ increases or R decreases. We also observe the existence of damping Solitary Wave from the fact that its amplitude disappears rapidly for R→0 or ν′→+∞.
Israel Michael Sigal - One of the best experts on this subject based on the ideXlab platform.
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Solitary Wave Dynamics in an External Potential
Communications in Mathematical Physics, 2004Co-Authors: Jürg Fröhlich, Stephen Gustafson, B. L. G. Jonsson, Israel Michael SigalAbstract:We study the behavior of Solitary-Wave solutions of some generalized nonlinear Schrodinger equations with an external potential. The equations have the feature that in the absence of the external potential, they have solutions describing inertial motions of stable Solitary Waves. We consider solutions of the equations with a non-vanishing external potential corresponding to initial conditions close to one of these Solitary Wave solutions and show that, over a large interval of time, they describe a Solitary Wave whose center of mass motion is a solution of Newton’s equations of motion for a point particle in the given external potential, up to small corrections corresponding to radiation damping.
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Solitary Wave dynamics in an external potential
arXiv: Mathematical Physics, 2003Co-Authors: Jürg Fröhlich, Stephen Gustafson, B. L. G. Jonsson, Israel Michael SigalAbstract:We study the behavior of Solitary-Wave solutions of some generalized nonlinear Schr\"odinger equations with an external potential. The equations have the feature that in the absence of the external potential, they have solutions describing inertial motions of stable Solitary Waves. We construct solutions of the equations with a non-vanishing external potential corresponding to initial conditions close to one of these Solitary Wave solutions and show that, over a large interval of time, they describe a Solitary Wave whose center of mass motion is a solution of Newton's equations of motion for a point particle in the given external potential, up to small corrections corresponding to radiation damping.
Fernando Fraternali - One of the best experts on this subject based on the ideXlab platform.
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multiscale tunability of Solitary Wave dynamics in tensegrity metamaterials
Applied Physics Letters, 2014Co-Authors: Fernando Fraternali, Gerardo Carpentieri, Ada Amendola, Robert E Skelton, V F NesterenkoAbstract:A class of strongly nonlinear metamaterials based on tensegrity concepts is proposed, and the Solitary Wave dynamics under impact loading is investigated. Such systems can be tuned into elastic hardening or elastic softening regimes by adjusting local and global prestress. In the softening regime these metamaterials are able to transform initially compression pulse into a Solitary rarefaction Wave followed by oscillatory tail with progressively decreasing amplitude. Interaction of a compression Solitary pulse with an interface between elastically hardening and softening materials having correspondingly low-high acoustic impedances demonstrates anomalous behavior: a train of reflected compression Solitary Waves in the low impedance material; and a transmitted Solitary rarefaction Wave with oscillatory tail in high impedance material. The interaction of a rarefaction Solitary Wave with an interface between elastically softening and elastically hardening materials with high-low impedances also demonstrates anomalous behavior: a reflected Solitary rarefaction Wave with oscillatory tail in the high impedance branch; and a delayed train of transmitted compression Solitary pulses in the low impedance branch. These anomalous impact transformation properties may allow for the design of ultimate impact mitigation devices without relying on energy dissipation.
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multiscale tunability of Solitary Wave dynamics in tensegrity metamaterials
arXiv: Materials Science, 2014Co-Authors: Fernando Fraternali, Gerardo Carpentieri, Ada Amendola, Robert E Skelton, V F NesterenkoAbstract:A new class of strongly nonlinear metamaterials based on tensegrity concepts is proposed and the Solitary Wave dynamics under impact loading is investigated. Such systems can be tuned into elastic hardening or elastic softening regimes by adjusting local and global prestress. In the softening regime these metamaterials are able to transform initially compression pulse into a Solitary rarefaction Wave followed by oscillatory tail with progressively decreasing amplitude. Interaction of a compression Solitary pulse with an interface between elastically hardening and softening materials having correspondingly low-high acoustic impedances demonstrates anomalous behavior: a train of reflected compression Solitary Waves in the low impedance material; and a transmitted Solitary rarefaction Wave with oscillatory tail in high impedance material. The interaction of a rarefaction Solitary Wave with an interface between elastically softening and elastically hardening materials with high-low impedances also demonstrates anomalous behavior: a reflected Solitary rarefaction Wave with oscillatory tail in the high impedance branch; and a delayed train of transmitted compression Solitary pulses in the low impedance branch. These anomalous impact transformation properties may allow for the design of ultimate impact mitigation devices without relying on energy dissipation.
