On an integrable two-dimensional special lattice with self-consistent sources
DOI10.1016/S0034-4877(06)80047-9zbMath1213.37105OpenAlexW2004103654MaRDI QIDQ2467647
Hong-Yan Wang, Hasi Gegen, Hon-Wah Tam
Publication date: 28 January 2008
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0034-4877(06)80047-9
Bäcklund transformationLax pairCasorati determinanttwo-dimensional special lattice with self-consistent sources
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)
Cites Work
- The higher-order KdV equation with a source and nonlinear superposition formula.
- Soliton solution of three differential-difference equations in Wronskian form
- A direct method for deriving a multi-soliton solution for the problem of interaction of waves on the x,y plane
- Capture and confinement of solitons in nonlinear integrable systems
- New factorization of the Kaup-Newell hierarchy
- The \(N\)-soliton solutions of some soliton equations with self-consistent sources
- Interaction of solitary waves in the system described by the Kadomtsev- Petviashvili equation with a self-consistent source
- Solving the KdV hierarchy with self-consistent sources by inverse scattering method
- Nonlinear evolutions with singular dispersion laws associated with a quadratic bundle
- Modified Manakov system with self-consistent source.
- Integration of the soliton hierarchy with self-consistent sources
- Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
- Lie algebraic approach to the construction of (2+1)-dimensional lattice-field and field integrable Hamiltonian equations
- Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
- Integral-Type Darboux Transformations for the mKdV Hierarchy with Self-Consistent Sources
- Solution of an initial-boundary value problem for coupled nonlinear waves
- Kadomtsev-Petviashvili equation with a source and its soliton solutions
- On an integrable differential-difference equation with a source
- New method for deriving nonlinear integrable systems
- Nonlinear resonant scattering and plasma instability: an integrable model
- Integration of the nonlinear Schrodinger equation with a source
- The Multisoliton Solutions of the KP Equation with Self-consistent Sources
- TheN-Soliton Solutions for the Modified KdV Equation with Self-Consistent Sources
- Remarks on several 2+1 dimensional lattices
- The Wronskian structure for solution of the k-constrained KP hierarchy
- The Lax representation and Darboux transformation for constrained flows of the AKNS hierarchy
- Theory of a Solid State Plasma Waveguide in a Transverse Magnetic Field
This page was built for publication: On an integrable two-dimensional special lattice with self-consistent sources
