ELLIPTIC SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION AND THE MODIFIED KORTEWEG-DE VRIES EQUATION
From MaRDI portal
Publication:4863172
DOI10.1070/SM1995v082n02ABEH003575zbMath0854.35110OpenAlexW1980373120MaRDI QIDQ4863172
Publication date: 16 June 1996
Published in: Russian Academy of Sciences. Sbornik Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm1995v082n02abeh003575
nonlinear Schrödinger equationmodified Korteweg-de Vries equationelliptic solutionfinite-gap solution
KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (23)
The AKNS hierarchy and finite-gap Schrödinger potentials ⋮ Elliptic solitons and “freak waves” ⋮ On the modified Korteweg-de-Vries equation with loaded term ⋮ The elliptic breather for the nonlinear Schrödinger equation ⋮ Cauchy problem for the nonlinear Hirota equation in the class of periodic infinite-zone functions ⋮ Integration of the modified Korteweg-de Vries equation with a self-consistent source in the class of periodic functions ⋮ Integration of a higher-order nonlinear Schrödinger system with a self-consistent source in the class of periodic functions ⋮ Integration of the nonlinear Korteweg-de Vries equation with an additional term ⋮ Dubrovin method and the Toda chain ⋮ Cauchy problem for the nonlinear Liouville equation in the class of periodic infinite-gap functions ⋮ Integration of the modified Korteweg-de Vries-Liouville equation in the class of periodic infinite-gap functions ⋮ Integration of negative-order modified Korteweg-de Vries equation in a class of periodic functions ⋮ Cauchy problem for the loaded Korteweg-de Vries equation in the class of periodic functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Generalized invariant manifolds for integrable equations and their applications ⋮ Nonlinear evolution equations and hyperelliptic covers of elliptic curves ⋮ Two-phase periodic solutions to the AKNS hierarchy equations ⋮ AKNS and NLS hierarchies, MRW solutions, P n breathers, and beyond ⋮ Integration of the nonlinear Schrödinger equation with an additional term in the class of periodic functions ⋮ A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach ⋮ An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
This page was built for publication: ELLIPTIC SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION AND THE MODIFIED KORTEWEG-DE VRIES EQUATION