Symmetry reductions and soliton-like solutions for the variable coefficient MKdV equations
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Publication:1970794
DOI10.1016/S1007-5704(99)90043-6zbMath0942.35158MaRDI QIDQ1970794
Publication date: 27 August 2000
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (11)
A Direct procedure on the Integrability of Nonisospectral and Variable-Coefficient MKdV Equation ⋮ Symbolic computation of conservation laws and exact solutions of a coupled variable-coefficient modified Korteweg-de Vries system ⋮ A Super mKdV Equation: Bosonization, Painlevé Property and Exact Solutions ⋮ White noise solutions to the stochastic mKdV equation ⋮ Electromagnetic soliton propagation in an anisotropic Heisenberg helimagnet ⋮ N-SOLITON-LIKE SOLUTIONS AND BÄCKLUND TRANSFORMATIONS FOR A NON-ISOSPECTRAL AND VARIABLE-COEFFICIENT MODIFIED KORTEWEG-DE VRIES EQUATION ⋮ Painlevé property, soliton-like solutions and complexitons for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model ⋮ Abundant explicit and exact solutions for the variable coefficient mKdV equations ⋮ Certain electromagnetic waves in a ferromagnetic film ⋮ New Jacobi elliptic functions solutions for the variable-coefficient mKdV equation ⋮ New exact solutions to the mKdV equation with variable coefficients
Cites Work
- Solitons. Mathematical methods for physicists
- Integral manifolds and inertial manifolds for dissipative partial differential equations
- Integrable evolution systems based on generalized self-dual Yang-Mills equations and their soliton-like solutions
- New similarity reductions of the Boussinesq equation
- Unnamed Item
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