On the Bäcklund-gauge transformation and homoclinic orbits of a coupled nonlinear Schrödinger system
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Publication:1581750
DOI10.1016/S0167-2789(00)00021-XzbMath0971.37035OpenAlexW1966473623MaRDI QIDQ1581750
M. Gregory Forest, Otis C. III Wright
Publication date: 8 October 2000
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(00)00021-x
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Other special methods applied to PDEs (35A25)
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Cites Work
- Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation
- The origin and saturation of modulational instabilities
- Gauge theory of Bäcklund transformations. II
- On the construction of orbits homoclinic to plane waves in integrable coupled nonlinear Schrödinger systems
- Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger PDE's
- Some Nonlinear Multiphase Interactions
- Some Properties of Nonlinear Wave Systems
- The Propagation of Nonlinear Wave Envelopes
- Unnamed Item
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