Rational solutions in Grammian form for the \((3+1)\)-dimensional generalized shallow water wave equation

DOI10.1016/j.camwa.2018.03.046zbMath1420.35255OpenAlexW2799830883MaRDI QIDQ2001360

Xiang-Hua Meng

Publication date: 3 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.03.046

zbMATH Keywords

rational solutionslump solitonKadomtsev-Petviashvili hierarchy reduction\((3+1)\)-dimensional generalized shallow water wave equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (9)

Kadomtsev–Petviashvili hierarchy reduction, soliton and semi-rational solutions for the (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid ⋮ Characteristics of lump-kink and their fission-fusion interactions, rogue, and breather wave solutions for a (3+1)-dimensional generalized shallow water equation ⋮ On nonclassical symmetries, Painlevé analysis and singular, periodic and solitary wave solutions of generalized Hirota-Satsuma coupled KdV system ⋮ A new (3+1)-dimensional Kadomtsev-Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves ⋮ Mixed lump-stripe soliton solutions to a new extended Jimbo-Miwa equation ⋮ Some new periodic solitary wave solutions of (3+1)-dimensional generalized shallow water wave equation by Lie symmetry approach ⋮ Novel interaction phenomena of localized waves in the generalized (3+1)-dimensional KP equation ⋮ Breather and interaction solutions for a \((3+1)\)-dimensional generalized shallow water wave equation ⋮ EXPLICIT AND EXACT NON-TRAVELING WAVE SOLUTIONS OF (3+1)-DIMENSIONAL GENERALIZED SHALLOW WATER EQUATION

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