The algebraic structure behind the derivative nonlinear Schrödinger equation

DOI10.1088/1751-8113/46/30/305201zbMath1283.35124arXiv1306.4027OpenAlexW3098318408MaRDI QIDQ2843758

J. F. Gomes, A. H. Zimerman, G. S. França

Publication date: 26 August 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4027

zbMATH Keywords

nonlinear Schrödinger equationsoliton solutionsKac-Moody algebraThirring modelKaup-Newell (KN) hierarchyMikhailov model

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Spectral theory and eigenvalue problems for partial differential equations (35P99) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

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Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model ⋮ Whittaker modules and quasi-Whittaker modules for the Schrödinger algebra in \((2 + 1)\)-dimensional spacetime ⋮ A Riemann-Hilbert approach to the multicomponent Kaup-Newell equation ⋮ Functional representation of the negative DNLS hierarchy ⋮ Generalized negative flows in hierarchies of integrable evolution equations ⋮ A new form of general soliton solutions and multiple zeros solutions for a higher-order Kaup–Newell equation

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