Construction of \((n+1)\)-dimensional dual-mode nonlinear equations: multiple shock wave solutions for \((3+1)\)-dimensional dual-mode Gardner-type and KdV-type

DOI10.1186/s13662-019-1960-4zbMath1458.35370OpenAlexW2919109207MaRDI QIDQ1716411

Marwan Alquran, Ali Jaradat, Mohammed M. M. Jaradat, Husein M. Jaradat, Mohd. Salmi Md. Noorani

Publication date: 4 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-1960-4

zbMATH Keywords

simplified bilinear method\((3+1)\)-dimensional dual-mode Gradner-type\((3+1)\)-dimensional dual-mode KdV-typemultiple singular-soliton shock wave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Traveling wave solutions (35C07)

Related Items (2)

Hyers-Ulam stability for Cayley quantum equations and its application to \(h\)-difference equations ⋮ GROUP ANALYSIS OF THE TIME FRACTIONAL (3 + 1)-DIMENSIONAL KDV-TYPE EQUATION

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