SOLITARY WAVE SOLUTIONS TO THE TZITZÉICA TYPE EQUATIONS OBTAINED BY A NEW EFFICIENT APPROACH

DOI10.11948/2156-907X.20180103zbMath1461.35095OpenAlexW2992842915MaRDI QIDQ5859379

Behzad Ghanbari, Lavdie Rada, Mustafa Inc

Publication date: 16 April 2021

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

Full work available at URL: https://doi.org/10.11948/2156-907x.20180103

zbMATH Keywords

solitary wave solutionsTzitzéica equationexponential rational function methodTzitzéica-Dodd-Bullough equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) PDEs in connection with optics and electromagnetic theory (35Q60) Initial value problems for nonlinear higher-order PDEs (35G25) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Traveling wave solutions (35C07) Soliton solutions (35C08)

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Cites Work

• The \((\frac{G'}G)\)-expansion method for Tzitzéica type nonlinear evolution equations
• New travelling wave solutions to the Boussinesq and the Klein-Gordon equations
• The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms
• The tanh method: A tool for solving certain classes of nonlinear evolution and wave equations.
• Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws
• New nonautonomous combined multi-wave solutions for \((2+1)\)-dimensional variable coefficients KdV equation
• Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium
• On multi-soliton solutions for the \((2+1)\)-dimensional breaking soliton equation with variable coefficients in a graded-index waveguide
• The extended tanh method and its applications for solving nonlinear physical models
• An efficient algorithm to construct multi-soliton rational solutions of the \((2+ 1)\)-dimensional KdV equation with variable coefficients
• The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations
• Solitary wave solutions of nonlinear wave equations
• AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING

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