Integration of mKdV equation with a self-consistent source in the class of finite density functions in the case of moving eigenvalues

DOI10.3103/S1066369X20100072zbMath1468.35175MaRDI QIDQ2027822

K. A. Mamedov

Publication date: 28 May 2021

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenvalueDirac operatoreigenfunctionscattering dataJost solutionmodified Korteweg-de Vries (mKdV) equationclass of finite density functionsinverse scattering problem method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Initial value problems for nonlinear higher-order PDEs (35G25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (7)

On integration of the loaded mKdV equation in the class of rapidly decreasing functions ⋮ Integration of the mKdV Equation with nonstationary coefficients and additional terms in the case of moving eigenvalues ⋮ Интегрирование модифицированного уравнения Кортевега - де Фриза с зависящими от времени коэффициентами и с самосогласованным источником ⋮ Integration of negative-order modified Korteweg-de Vries equation in a class of periodic functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Integration of the modified Korteweg-de Vries equation with a self-consistent source in the class of periodic functions
• Integrating the Korteweg-de Vries equation with a self-consistent source and ``steplike initial data
• Solution of an initial-boundary value problem for coupled nonlinear waves
• Creation and annihilation of solitons in the system described by the Korteweg-de Vries equation with a self-consistent source
• Integration of the nonlinear Schrodinger equation with a source
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Method for Solving the Korteweg-deVries Equation

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