On Darboux transformations for the derivative nonlinear Schrödinger equation
DOI10.1080/14029251.2014.905301zbMath1420.35371arXiv1401.1536OpenAlexW2036142862MaRDI QIDQ5230948
Halis Yilmaz, Jonathan J. C. Nimmo
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.1536
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Related Items (6)
Cites Work
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- Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
- Applications of Darboux transformations to the self-dual Yang-Mills equations
- Quasideterminants
- Determinants of matrices over noncommutative rings
- The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation
- Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations
- Multi-Soliton Solutions of a Derivative Nonlinear Schrödinger Equation
- The Darboux transformation of the derivative nonlinear Schrödinger equation
- On a direct approach to quasideterminant solutions of a noncommutative KP equation
- Darboux transformation and exact solutions for a hierarchy of nonlinear evolution equations
- Alfven solitons
- Bäcklund transformations and the Atiyah–Ward ansatz for non-commutative anti-self-dual Yang–Mills equations
- Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation
- Darboux transformation of the generalized coupled dispersionless integrable system
- Dromion solutions of noncommutative Davey–Stewartson equations
- An exact solution for a derivative nonlinear Schrödinger equation
- GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
- Vandermonde-like determinants and N-fold Darboux/Bäcklund transformations
- The hierarchy of multi-soliton solutions of the derivative nonlinear Schr dinger equation
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