New exact travelling waves solutions to the combined KdV-MKdV and generalized Zakharov equations
From MaRDI portal
Publication:2507367
DOI10.1016/S0034-4877(06)80020-0zbMath1104.35047OpenAlexW2067505603MaRDI QIDQ2507367
Hong-Qing Zhang, Ding-jiang Huang
Publication date: 10 October 2006
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0034-4877(06)80020-0
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)
Related Items
Orbital stability of solitary waves to the coupled compound KdV and MKdV equations with two components, Multi-symplectic method for the generalized (2+1)-dimensional KdV-mKdV equation, The periodic solutions to Kawahara equation by means of the auxiliary equation with a sixth-degree nonlinear term, Some explicit expressions and interesting bifurcation phenomena for nonlinear waves in generalized Zakharov equations, Exact periodic wave solutions of the cubic-quintic Zakharov equation and their evolution with Hamilton energy, Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system, Travelling wave solutions to some important equations of mathematical physics, Symbolic analysis and exact travelling wave solutions to a new modified Novikov equation, New exact periodic solitary-wave solution of mKdV equation, Observations on the class of ``Balancing Principle for nonlinear PDEs that can be treated by the auxiliary equation method
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations
- Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
- Exact travelling wave solutions of some nonlinear evolutionary equations
- Solitary wave and other solutions for nonlinear heat equations
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- New solitary wave solution of the combined KdV and mKdV equation
- Exact solitary wave solutions of coupled nonlinear evolution equations using MACSYMA
- Exact solutions for some nonlinear partial differential equations
- New transformations and new approach to find exact solutions to nonlinear equations
- New explicit and exact travelling wave solutions for a system of dispersive long wave equations
- Variable-coefficient projective Riccati equation method and its application to a new (2 + 1)-dimensional simplified generalized Broer-Kaup system
- Exact travelling wave solutions for the Boiti-Leon-Pempinelli equation
- Periodic wave solutions to a coupled KdV equations with variable coefficients
- Auxiliary equation method for solving nonlinear partial differential equations
- Solving the \((2+1)\)-dimensional higher order Broer-Kaup system via a transformation and tanh-function method
- An improved algebra method and its applications in nonlinear wave equations
- A simple transformation for nonlinear waves.
- The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
- Extended tanh-function method and its applications to nonlinear equations
- Wave Propagation in Nonlinear Lattice. I
- Exact solutions to the combined KdV and mKdV equation
- Link between solitary waves and projective Riccati equations
- Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
- Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries