The JEFE method and periodic solutions of two kinds of nonlinear wave equations
DOI10.1016/S1007-5704(02)00082-5zbMath1018.35066OpenAlexW2046633660MaRDI QIDQ1866312
Shida Liu, Zuntao Fu, Qiang Zhao, Shikuo Liu
Publication date: 3 April 2003
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s1007-5704(02)00082-5
periodic solutionBBM equationnonlinear wave equationJacobi elliptic functionsolitary wave solutionsshock wave solutionsKawahara equationBO equation
KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Exact solutions of nonlinear PDE, nonlinear transformation and reduction of nonlinear PDE to a quadrature
- Solitary wave solutions for variant Boussinesq equations
- Exact solutions of nonlinear equations
- Periodical solution to the nonlinear dissipative equation for surface waves in a convecting liquid layer
- A simple transformation for nonlinear waves.
- Travelling solitary wave solutions to a compound KdV-Burgers equation.
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- Extended tanh-function method and its applications to nonlinear equations
- Exact periodic solutions of the complex Ginzburg–Landau equation
- Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
- A simple fast method in finding particular solutions of some nonlinear PDE
- Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
- New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
- Some general periodic solutions to coupled nonlinear Schrödinger equations.