The first-integral method and abundant explicit exact solutions to the Zakharov equations

DOI10.1155/2012/818345zbMath1308.65179OpenAlexW2080191471WikidataQ58907419 ScholiaQ58907419MaRDI QIDQ1952945

Yadong Shang, Xiaoxiao Zheng

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/818345

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (2)

Exact periodic wave, bisoliton, and various breather solutions for the Zakharov equations ⋮ Closed-form solutions of the Thomas-Fermi in heavy atoms and the Langmuir-blodgett in current flow ODEs in mathematical physics

Cites Work

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• Exact solutions of some nonlinear systems of partial differential equations by using the first integral method
• Exact solution to an approximate sine-Gordon equation in \((n+1)\)-dimensional space
• Traveling waves to a Burgers-Korteweg-de Vries-type equation with higher-order nonlinearities
• The extended hyperbolic functions method and new exact solutions to the Zakharov equations
• Traveling wave solutions in parametric forms for a diffusion model with a nonlinear rate of growth
• Orbital stability for the periodic Zakharov system
• The first-integral method to study the Burgers–Korteweg–de Vries equation
• On explicit exact solutions to the compound Burgers-KdV equation

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