A improved F-expansion method and its application to Kudryashov-Sinelshchikov equation

DOI10.1002/mma.2925zbMath1304.34019OpenAlexW2026478490MaRDI QIDQ2922225

Shaolin Li, Yao Long, Ying-Hui He

Publication date: 9 October 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2925

zbMATH Keywords

nonlinear wave equationKudryashov-Sinelshchikov equationimproved F-expansion methodexact traveling solutions

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Traveling wave solutions (35C07)

Related Items (5)

Painlevé analysis and exact solutions of the fourth-order equation for description of nonlinear waves ⋮ Peakon, pseudo-peakon, cuspon and smooth solitons for a nonlocal Kerr-like media ⋮ Analytic rogue wave solutions for a generalized fourth‐order Boussinesq equation in fluid mechanics ⋮ On nonlinear differential equation with exact solutions having various pole orders ⋮ Existence results for the Kudryashov–Sinelshchikov–Olver equation

Cites Work

• Lie symmetry analysis of Kudryashov-Sinelshchikov equation
• Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer
• Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations
• One method for finding exact solutions of nonlinear differential equations
• The bifurcation and exact peakons, solitary and periodic wave solutions for the Kudryashov-Sinelshchikov equation
• Exact solutions of the Kudryashov-Sinelshchikov equation using the multiple \(G'/G\)-expansion method
• Nonlinear waves in liquids with gas bubbles with account of viscosity and heat transfer
• Exact solutions of the Kudryashov-Sinelshchikov equation
• On the Kudryashov-Sinelshchikov equation for waves in bubbly liquids
• Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration
• Exp-function method for nonlinear wave equations
• Using symbolic computation to exactly solve a new coupled MKdV system
• Periodic loop solutions and their limit forms for the Kudryashov-Sinelshchikov equation
• A improved F-expansion method and its application to the Zhiber-Shabat equation

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