Periodic solutions of a derivative nonlinear Schrödinger equation: Elliptic integrals of the third kind

DOI10.1016/j.cam.2011.01.029zbMath1216.35133OpenAlexW2025388459MaRDI QIDQ544216

Yong-Cai Geng, Sumit K. Garg

Publication date: 14 June 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.01.029

zbMATH Keywords

derivative nonlinear Schrödinger (Chen-Lee-Liu) equationelliptic integrals of the third kind

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

Precise and fast computation of a general incomplete elliptic integral of third kind by half and double argument transformations ⋮ Realization and canonical representation of linear systems through I/O maps ⋮ Optical solitons with Chen-Lee-Liu equation by Lie symmetry ⋮ Modulational instability of periodic standing waves in the derivative NLS equation ⋮ Periodic dynamics of a derivative nonlinear Schrödinger equation with variable coefficients

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