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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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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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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Two new Painlev´e integrable KdV–Calogero-Bogoyavlenskii-Schiff (KdV-CBS) equation and new negative-order KdV-CBS equation [PDF]
Nonlinear Dynamics, 2021 Abstract In this work, we develop two new (3+1)-dimensional KdV–Calogero-Bogoyavlenskii-Schiff (KdV-CBS) equation and (3+1)-dimensional negative-order KdV-CBS (nKdV-nCBS) equation. The newly developed equations pass the Painlev´e integrability test via examining the compatibility conditions for each developed model.
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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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ON THE THIRD ORDER SOLUTION OF KdV EQUATION BY USING HOMOTOPY PERTURBATION METHOD
Barekeng, 2023 In this research we discussed about the solution of the KdV equation using Homotopy Perturbation method. The KdV equation that describing water wave equation solved by using the mixing method between Homotopy and Perturbation method.
Mashuri Mashuri +2 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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On a hierarchy of nonlinearly dispersive generalized Korteweg–de Vries evolution equations; pp. 212–218 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 We propose a hierarchy of nonlinearly dispersive generalized Kortewegâde Vries (KdV) evolution equations based on a modification of the Lagrangian density whose induced action functional the KdV equation extremizes.
Ivan C. Christov
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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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Solution for fractional forced KdV equation using fractional natural decomposition method
, 2020 The fractional natural decomposition method (FNDM) is employed in the present investigation to find the solution for fractional forced Korteweg-de Vries (FF-KdV) equation.
P. Veeresha +2 more
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