Results 21 to 30 of about 4,529 (186)
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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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 discrete and continuous Miura chain associated with the sixth Painlev equation [PDF]
, 2000 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Hone, A. N. W. +8 more
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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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Beyond the KdV: Post-explosion development [PDF]
, 2015 Several threads of the last 25 years’ developments in nonlinear wave theory that stem from the classical Korteweg–de Vries (KdV) equation are surveyed.
Y. Stepanyants +7 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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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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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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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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Results in Physics, 2018 In this work we study the Korteweg-de Vries-Benjamin-Bona-Mahony (KdV-BBM) equation, which describes the two-way propagation of waves. Using Lie symmetry method together with Jacobi elliptic function expansion and Kudryashov methods we construct its ...
Innocent Simbanefayi +1 more
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