Variational approach and exact solutions for a generalized coupled Zakharov-Kuznetsov system

DOI10.1016/J.CAMWA.2017.01.011zbMath1372.35011OpenAlexW2586532888MaRDI QIDQ2398992

Abdullahi Rashid Adem, Ben Muatjetjeja, Ofentse P. Porogo

Publication date: 21 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.01.011

zbMATH Keywords

conservation lawsLagrangianNoether symmetriesKudryashov methodJacobi elliptic function methodgeneralized Zakharov-Kuznetsov system

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items (5)

Conservation laws, soliton solutions and periodic solutions for generalized coupled Zakharov-Kuznetsov equations ⋮ Nonautonomous soliton solutions for a nonintegrable Korteweg-de Vries equation with variable coefficients by the variational approach ⋮ Invariant analysis and conservation laws of \((2+1)\) dimensional time-fractional ZK-BBM equation in gravity water waves ⋮ Bifurcation and exact traveling wave solutions for dual power Zakharov-Kuznetsov-Burgers equation with fractional temporal evolution ⋮ Construction of the soliton solutions for the Manakov system by extended simplest equation method

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