Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations
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Publication:1777026
DOI10.1016/j.chaos.2004.09.055zbMath1068.35156OpenAlexW1970981965MaRDI QIDQ1777026
Publication date: 12 May 2005
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2004.09.055
decompositionRiemann theta functionshyperelliptic Riemann surfaceAbel-Jacobi coordinatesgeneralized Kaup-Newell type hierarchy
NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Solutions to PDEs in closed form (35C05)
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Cites Work
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- Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
- Exact solution to higher-order nonlinear equations through gauge transformation
- A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations
- Quasi-periodic solutions of the coupled nonlinear Schrödinger equations
- Evolution equations possessing infinitely many symmetries
- An exact solution for a derivative nonlinear Schrödinger equation
- Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
- The finite-band solution of the Jaulent–Miodek equation
- A family of exact travelling wave solutions to nonlinear evolution and wave equations
- GENERALIZED r-MATRIX STRUCTURE AND ALGEBRO-GEOMETRIC SOLUTION FOR INTEGRABLE SYSTEM
- Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
- Bilinearization of a Generalized Derivative Nonlinear Schrödinger Equation
- Finite-band solutions of the classical Boussinesq–Burgers equations
- Algebro-geometric solution of the 2+1 dimensional Burgers equation with a discrete variable
- Some general periodic solutions to coupled nonlinear Schrödinger equations.