ANALYTICAL SOLITARY WAVE SOLUTIONS FOR THE NONLINEAR ANALOGUES OF THE BOUSSINESQ AND SIXTH-ORDER MODIFIED BOUSSINESQ EQUATIONS

DOI10.11948/2017098zbMath1441.35209OpenAlexW2763439765MaRDI QIDQ5121532

Sherif Amirov, Mustafa Anutgan

Publication date: 15 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2017098

zbMATH Keywords

tanh function methodnonlinear sixth-order modified Boussinesq equationpolynomial function method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Cites Work

• Global solvability of initial boundary-value problems for nonlinear analogs of the Boussinesq equation
• Stability analysis for Zakharov-Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma
• Water wave solutions of Zufiria's higher-order Boussinesq type equations and its stability
• Stability analysis solutions for nonlinear three-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in a magnetized electron-positron plasma
• Solitary wave solutions for variant Boussinesq equations
• Fractional solitary wave solutions of the nonlinear higher-order extended KdV equation in a stratified shear flow. I
• Three-dimensional nonlinear modified Zakharov-Kuznetsov equation of ion-acoustic waves in a magnetized plasma
• Variational method for the derivative nonlinear Schrödinger equation with computational applications
• Solitary waves on nonlinear elastic rods. I
• Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis

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