Many new exact solutions to \((2+1)\)-dimensional Burgers equation and Klein-Gordon equation using symbolic computation

DOI10.1016/j.amc.2006.08.015zbMath1115.35116OpenAlexW1968876794MaRDI QIDQ876650

Zhen Wang, Hong-Qing Zhang

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.015

zbMATH Keywords

Burgers equation\(N\)-soliton solutioncomplexiton solutioncubic Klein-Gordon equationmulti-function expansion method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Solutions to PDEs in closed form (35C05) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items (6)

Solitary and periodic wave solutions of Calogero-Bogoyavlenskii-Schiff equation via exp-function methods ⋮ Explicit traveling wave solutions to nonlinear evolution equations ⋮ Explicit traveling wave solutions of five kinds of nonlinear evolution equations ⋮ Solving the discrete KdV equation with homotopy analysis method ⋮ Some applications of the \((\frac{G'}{G})\)-expansion method to non-linear partial differential equations ⋮ The (\(\frac{G'}{G})\)-expansion method and its applications to some nonlinear evolution equations in the mathematical physics

Uses Software

• Maple
• CharSets

Cites Work

• Unnamed Item
• Generalized transformations and abundant new families of exact solutions for (2 + 1)-dimensional dispersive long wave equations
• Extended tanh-function method and its applications to nonlinear equations
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• The relations among a special type of solutions in some (D+1)-dimensional nonlinear equations
• An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations

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