Numerical computation of high dimensional solitons via Darboux transformation
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Publication:1289812
DOI10.1016/S1007-5704(97)90012-5zbMath0932.65127MaRDI QIDQ1289812
Publication date: 29 July 1999
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Cites Work
- Darboux transformations for a Lax integrable system in \(2n\) dimensions
- Gauge theory of Bäcklund transformations. II
- On the interaction of solitons for a class of integrable systems in the spacetime \(\mathbb{R}^{n+1}\)
- Letters in Mathematical Physics cumulative index, Volumes 30-32 (1994)
- The dressing method and nonlocal Riemann-Hilbert problems
- New features of soliton dynamics in 2+1 dimensions
