Some new nonlinear wave solutions for two \((3+1)\)-dimensional equations

DOI10.1016/j.amc.2015.03.098zbMath1410.35021OpenAlexW2004354778MaRDI QIDQ1643080

Rui Liu, Yi-ren Chen

Publication date: 18 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.098

zbMATH Keywords

simplified Hirota's methoddynamical system approachgeneralized multiple soliton solutionshigher-dimensional equationsnew nonlinear wave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (9)

Lie symmetry analysis and new exact solutions for a higher-dimensional shallow water wave equation ⋮ Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation ⋮ Riemann theta solutions and their asymptotic property for a \((3+1)\)-dimensional water wave equation ⋮ Breather wave solutions for the \((3+1)\)-D generalized shallow water wave equation with variable coefficients ⋮ New complex and hyperbolic forms for Ablowitz-Kaup-Newell-Segur wave equation with fourth order ⋮ Local solvability and solution blow-up of one-dimensional equations of the Yajima-Oikawa-Satsuma type ⋮ Optimal system, invariance analysis of fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave dynamical equation using Lie symmetry approach ⋮ The bifurcations of solitary and kink waves described by the Gardner equation ⋮ New generalized soliton solutions for a \((3 + 1)\)-dimensional equation

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