Travelling wave solutions of nonlinear partial equations by using the first integral method

DOI10.1016/j.amc.2010.02.028zbMath1191.35090OpenAlexW2029890322MaRDI QIDQ972183

Hong-Qing Zhang, Bin Lu, Fuding Xie

Publication date: 25 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.028

zbMATH Keywords

first integral methodnew exact solutions\((2+1)\)-dimensional Broer-Kaup-Kupershmidt system\((3+1)\)-dimensional Burgers equations

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25) Traveling wave solutions (35C07)

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Cites Work

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• The modified extended Fan sub-equation method and its application to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation
• The first integral method for solving some important nonlinear partial differential equations
• Generalized method and new exact wave solutions for \((2 + 1)\)-dimensional Broer-Kaup-Kupershmidt system
• Traveling wave behavior for a generalized Fisher equation
• A new algebraic method for finding the line soliton solutions and doubly periodic wave solution to a two-dimensional perturbed KdV equation.
• Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems
• The first integral method to the two-dimensional Burgers-Korteweg-de Vries equation
• Solitary wave solutions for variant Boussinesq equations
• A note on the homogeneous balance method
• An improved generalized \(F\)-expansion method and its applications
• A new Riccati equation rational expansion method and its application to \((2+1)\)-dimensional Burgers equation
• Multiple soliton solutions and multiple singular soliton solutions for the (3 + 1)-dimensional Burgers equations
• A new general algebraic method with symbolic computation to construct new travelling wave solution for the \((1+1)\)-dimensional dispersive long wave equation
• Extended tanh-function method and its applications to nonlinear equations
• Wave Propagation in Nonlinear Lattice. I
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Infinitely many Lax pairs and symmetry constraints of the KP equation
• The first-integral method to study the Burgers–Korteweg–de Vries equation
• (2   1)-dimensional compacton solutions with and without completely elastic interaction properties
• New Exact Solution to (3+1)-Dimensional Burgers Equation
• New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations

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