Explicit exact solutions for the generalized Zakharov equations with nonlinear terms of any order

DOI10.1016/J.CAMWA.2009.01.021zbMath1186.34007OpenAlexW2011410842MaRDI QIDQ971677

Xian-Lin Yang, Jia-Shi Tang

Publication date: 16 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.01.021

zbMATH Keywords

exact solutiongeneralized Zakharov equationsauxiliary ordinary differential equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (3)

1-soliton solution of the generalized Zakharov equation in plasmas by He's variational principle ⋮ Exact 1-soliton solution of the Zakharov equation in plasmas withpower law nonlinearity ⋮ A new rational auxiliary equation method and exact solutions of a generalized Zakharov system

Cites Work

• Unnamed Item
• New exact traveling wave solutions for the two-dimensional KdV-Burgers and Boussinesq equations
• A new auxiliary equation and exact travelling wave solutions of nonlinear equations
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• New exact solutions to the combined KdV and mKdV equation
• Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order.
• Traveling solitary wave solutions to evolution equations with nonlinear terms of any order
• Langmuir wave solitons and spatial collapse in plasma physics
• Auxiliary equation method for solving nonlinear partial differential equations
• Exact solutions to the Liénard equation and its applications
• A note on the auxiliary equation method for solving nonlinear partial differential equations
• Explicit exact solutions for the Liénard equation and its applications
• Method for Solving the Korteweg-deVries Equation
• A simple fast method in finding particular solutions of some nonlinear PDE
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
• Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
• On explicit exact solutions for the Lienard equation and its applications

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