Results 21 to 30 of about 1,225,202 (162)
Journal of Ocean Engineering and Science, 2019 Using the Lie symmetry approach, the author has examined traveling wave solutions of coupled Benjamin–Bona–Mahony-KdV equation. The coupled Benjamin–Bona–Mahony-KdV equation is reduced to nonlinear ordinary differential equations for all optimal ...
Vikas Kumar
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Journal of High Energy Physics, 2023 Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm.
S. Y. Lou, Xia-zhi Hao, Man Jia
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Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]
, 2010 The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
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Unidirectional wave motion in a nonlocally and nonlinearly elastic medium: the KdV, BBM, and CH equations; pp. 256–262 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 We consider unidirectional wave propagation in a nonlocally and nonlinearly elastic medium whose constitutive equation is given by a convolution integral with a suitable kernel function.
Hüsnü Ata Erbay +2 more
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Dynamical properties of dust-ion-acoustic wave solutions in a nonextensive collisional dusty plasma
Journal of Taibah University for Science, 2021 Dynamical properties of dust-ion-acoustic waves (DIAWs) are analysed in a collisional nonextensive dusty plasma composing of mobile ions, q-nonextensive electrons and stationary dust grains with slight collisions between dusts and ions.
Puja Sharma +3 more
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A note on loop-soliton solutions of the short-pulse equation [PDF]
, 2010 It is shown that the N-loop soliton solution to the short-pulse equation may be decomposed exactly into N separate soliton elements by using a Moloney-Hodnett type decomposition.
Parkes, E.J.
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Time-fractional generalized fifth-order KdV equation: Lie symmetry analysis and conservation laws
Frontiers in Physics, 2023 The purpose of this study is to apply the Lie group analysis method to the time-fractional order generalized fifth-order KdV (TFF-KdV) equation. We examine applying symmetry analysis to the TFF-KdV equation with the Riemann–Liouville (R–L) derivative ...
Zhenli Wang +4 more
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Rational Solutions for the (2+1)-Dimensional Modified KdV-CBS Equation
Advances in Mathematical Physics, 2019 In this paper, with the help of symbolic computation, three types of rational solutions for the (2+1)-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation are derived.
Yan Li, Temuer Chaolu, Yuexing Bai
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Lie symmetry based-analytical and numerical approach for modified Burgers-KdV equation
Results in Physics, 2018 In this work, the variable-coefficient modified Burgers-KdV equation, which arises in modeling various physical phenomena, is studied for exact and numerical solution based on Lie symmetry.
Vikas Kumar +3 more
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Results in Physics, 2021 In this article, we study the nonlinear higher order of extended KdV equation with free surface displacement. The modified exponential rational function method is used in order to find exact solutions of the extended KdV equation.
Ali Althobaiti +3 more
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