Spectral conservation laws for periodic nonlinear equations of the Melnikov type
From MaRDI portal
Publication:3530451
zbMath1158.35078arXiv0801.4143MaRDI QIDQ3530451
Iskander A. Taimanov, Petr G. Grinevich
Publication date: 20 October 2008
Full work available at URL: https://arxiv.org/abs/0801.4143
Schrödinger operatorBaker-Akhiezer functiondifferential operatorKorteweg de Vries equationMelnikov equation
KdV equations (Korteweg-de Vries equations) (35Q53) Schrödinger operator, Schrödinger equation (35J10) Solutions to PDEs in closed form (35C05)
Related Items (31)
Integration of a loaded Korteweg-de Vries equation in a class of periodic functions ⋮ On the construction and integration of a hierarchy for the periodic Toda lattice with a self-consistent source ⋮ Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy ⋮ On the modified Korteweg-de-Vries equation with loaded term ⋮ The periodic solutions of the discrete modified KdV equation with a self-consistent source ⋮ Integrating the Toda lattice with self-consistent source via inverse scattering method ⋮ 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 ⋮ On the integration of the periodic Camassa-Holm equation with an integral-type source ⋮ On the differential-difference sine-Gordon equation with an integral type source ⋮ Cauchy problem for the nonlinear Liouville equation in the class of periodic infinite-gap functions ⋮ Periodic Toda chain with an integral source ⋮ 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 ⋮ The nonlinear Schrödinger equation with a self-consistent source in the class of periodic functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Generalized Darboux transformation for the discrete Kadomtsev-Petviashvili equation with self-consistent sources ⋮ The Korteweg-de Vries equation with a self-consistent source in the class of periodic functions ⋮ Integration of equation of Toda periodic chain kind ⋮ Integration of the matrix KdV equation with self-consistent source ⋮ Integration of equations of Kaup system kind with self-consistent source in class of periodic functions ⋮ Discrete KP equation with self-consistent sources ⋮ Integration of higher Korteweg-de Vries equation with a self-consistent source in class of periodic functions ⋮ On the periodic Toda lattice hierarchy with an integral source ⋮ Integration of the nonlinear Schrödinger equation with an additional term in the class of periodic functions ⋮ Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy ⋮ Unnamed Item
This page was built for publication: Spectral conservation laws for periodic nonlinear equations of the Melnikov type