On the differential-difference sine-Gordon equation with an integral type source

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Ordinary lattice differential equations (34A33)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
The Korteweg-de Vries equation with a self-consistent source in the class of periodic functions
Integration of the sine-Gordon equation with a self-consistent source of the integral type in the case of multiple eigenvalues
Periodic Toda chain with an integral source
On the periodic Toda lattice with a self-consistent source
Topological defects in incommensurate magnetic and crystal structures and quasi-periodic solutions of the elliptic sine-Gordon equation
All constant mean curvature tori in \(R^ 3\), \(S^ 3\), \(H^ 3\) in terms of theta-functions
Exact solutions of a nonlinear boundary value problem: The vortices of the two-dimensional sinh-Poisson equation
On some integrable cases in surface theory
Application of soliton theory to the construction of pseudospherical surfaces in \(\mathbb{R}^ 3\)
Integrating the Korteweg-de Vries equation with a self-consistent source and ``steplike initial data
The \(N\)-soliton solutions of the sine-Gordon equation with self-consistent sources
On the periodic Toda lattice hierarchy with an integral source
The periodic solutions of the discrete modified KdV equation with a self-consistent source
Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation
Constant mean curvature surfaces and integrable equations
Inverse problem for an elliptic sine-Gordon equation with an asymptotic behaviour of the cnoidal-wave type
Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
Spectral conservation laws for periodic nonlinear equations of the Melnikov type
Generating Solutions to Discrete sine-Gordon Equation from Modified Bäcklund Transformation
Integration of equations of Kaup system kind with self-consistent source in class of periodic functions
On the Toda lattice equation with self-consistent sources

This page was built for publication: On the differential-difference sine-Gordon equation with an integral type source