Solitary Wave Solutions to the ZKBBM Equation and the KPBBM Equation Via the Modified Simple Equation Method

DOI10.4208/JPDE.V29.N2.5zbMath1374.35108OpenAlexW3148351989WikidataQ115210075 ScholiaQ115210075MaRDI QIDQ5277297

J. Akter, Ali Akbarm

Publication date: 14 July 2017

Published in: Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jpde.v29.n2.5

zbMATH Keywords

soliton solutionsnonlinear evolution equationsmodified simple equation methodhomogeneous balanceKadomtsov-Petviashvilli Benjamin-Bona-Mahony equationZakharov-Kuznetsov Benjamin-Bona-Mahony equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (3)

Invariant analysis and conservation laws of \((2+1)\) dimensional time-fractional ZK-BBM equation in gravity water waves ⋮ Lie symmetry analysis for obtaining exact soliton solutions of generalized Camassa–Holm–Kadomtsev–Petviashvili equation ⋮ Multiple-order breathers for a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili Benjamin-Bona-Mahony equation near the offshore structure

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