Extended Gram-type determinant, wave and rational solutions to two (3+1)-dimensional nonlinear evolution equations

DOI10.1016/j.amc.2012.06.007zbMath1291.35008OpenAlexW2165039999MaRDI QIDQ2249022

Wen-Xiu Ma, Magdy Gamil Asaad

Publication date: 27 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.06.007

zbMATH Keywords

nonlinear evolution equationsPfaffianbilinear Bäcklund transformationJimbo-Miwa equationGrammian determinant

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Exact three-wave solutions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ Multiple soliton solutions, soliton-type solutions and hyperbolic solutions for the Benjamin-Bona-Mahony equation with variable coefficients in rotating fluids and one-dimensional transmitted waves ⋮ Wronskian, Pfaffian and periodic wave solutions for a \((2 + 1)\)-dimensional extended shallow water wave equation ⋮ A new approach to investigate the nonlinear dynamics in a \((3 + 1)\)-dimensional nonlinear evolution equation via Wronskian condition with a free function ⋮ Localized Excitations of a Generalised Jimbo-Miwa Equation

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