Kawahara equation and modified Kawahara equation with time dependent coefficients: symmetry analysis and generalized ‐expansion method
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Publication:4917311
DOI10.1002/mma.2617zbMath1282.35335OpenAlexW2058160365MaRDI QIDQ4917311
Publication date: 29 April 2013
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.2617
power seriesexact solutionsKawahara equationLie classical methodmodified Kawahara equationgeneralized \(\left (\frac {G^{\prime}}{G}\right )\)-expansion method
KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Solutions to PDEs in closed form (35C05)
Related Items (19)
Dynamics of kink solitary waves and lump waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equation ⋮ New exact solutions for the space-time fractional Kawahara equation ⋮ Einstein's vacuum field equation: Painlevé analysis and Lie symmetries ⋮ New exact solutions of space and time fractional modified Kawahara equation ⋮ Soliton solutions to the time-dependent coupled KdV-Burgers' equation ⋮ Approximate solutions of time fractional Kawahara equation by utilizing the residual power series method ⋮ Some invariant solutions of field equations with axial symmetry for empty space containing an electrostatic field ⋮ Lie symmetry analysis, soliton and numerical solutions of boundary value problem for variable coefficients coupled KdV-Burgers equation ⋮ Lie symmetry analysis, optimal system and conservation laws of a new (2+1)-dimensional KdV system ⋮ Lie reductions and exact solutions of generalized Kawahara equations ⋮ Residual symmetry, Bäcklund transformation, and soliton solutions of the higher-order Broer-Kaup system ⋮ Rational solutions and their interaction solutions of the \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ Group analysis and new explicit solutions of simplified modified Kawahara equation with variable coefficients ⋮ Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation ⋮ Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation ⋮ Exact solution of the time fractional variant Boussinesq-Burgers equations. ⋮ Lie symmetry reductions and group invariant solutions of \((2+1)\)-dimensional modified Veronese web equation ⋮ Dynamics of localized waves and interaction solutions for the \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation ⋮ Mixed lump-solitons, periodic lump and breather soliton solutions for (2 + 1)-dimensional extended Kadomtsev–Petviashvili dynamical equation
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