Integration of the modified Korteweg-de Vries equation with a self-consistent source in the class of periodic functions

DOI10.1134/S0012266114040119zbMath1297.35211OpenAlexW2032626431WikidataQ115251660 ScholiaQ115251660MaRDI QIDQ404665

J. Herrera, H. S. Yoon

Publication date: 4 September 2014

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266114040119

zbMATH Keywords

modified Korteweg-de Vries equationinverse spectral problem method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (3)

Integration of the negative order Korteweg–de Vries equation with a self-consistent source in the class of periodic functions ⋮ Integration of negative-order modified Korteweg-de Vries equation in a class of periodic functions ⋮ Integration of mKdV equation with a self-consistent source in the class of finite density functions in the case of moving eigenvalues

Cites Work

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• The nonlinear Schrödinger equation with a self-consistent source in the class of periodic functions
• The Korteweg-de Vries equation with a self-consistent source in the class of periodic functions
• Spectral conservation laws for periodic nonlinear equations of the Melnikov type
• ELLIPTIC SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION AND THE MODIFIED KORTEWEG-DE VRIES EQUATION

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