Integration of a nonlinear sine-Gordon-Liouville-type equation in the class of periodic infinite-gap functions

KdV equations (Korteweg-de Vries equations) (35Q53) Estimates of eigenvalues in context of PDEs (35P15) Mittag-Leffler functions and generalizations (33E12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Scattering of solitons by dislocations in the modified Korteweg de Vries-sine-Gordon equation
Solutions of the Ablowitz-Kaup-Newell-Segur hierarchy equations of the ``rogue wave type: a unified approach
Nonautonomous soliton solutions of the modified Korteweg-de Vries-sine-Gordon equation
On integration of the loaded mKdV equation in the class of rapidly decreasing functions
Asymptotic behavior of Weyl-Titchmarsh \(m\)-function in the case of the Dirac system
On the inverse problem for Hill's operator
Estimation of the Cauchy function for finite-zone nonperiodic potentials
The almost-periodicity of infinite-gap potentials of the Dirac operator
A proof of the impossibility of the coexistence of two Mathieu functions.
Two-phase periodic solutions to the AKNS hierarchy equations
On the modified Korteweg-de-Vries equation with loaded term
Integration of the nonlinear Korteweg-de Vries equation with an additional term
Integration of the general loaded Korteweg-de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions
Integration of the nonlinear Schrödinger equation with an additional term in the class of periodic functions
Remarks on the local version of the inverse scattering method
Inverse problem on the half-line for the Sturm-Liouville operator with periodic potential
Numerical analysis of soliton solutions of the modified Korteweg-de Vries-sine-Gordon equation
On the sine-Gordon equation with a self-consistent source corresponding to multiple eigenvalues
Solutions to the modified Korteweg–de Vries equation
Soliton Solutions for the Modified KdV6, Modified (2+1)-dimensional Boussinesq, and (3+1)-dimensional KdV Equations
On the sine-Gordon equation with a self-consistent source
Gaps of one dimensional periodic AKNS systems
Hill’s surfaces and their theta functions
Almost Periodic Solutions of the KdV Equation
Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
The inverse problem for periodic potentials
Method for Solving the Korteweg-deVries Equation
ELLIPTIC SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION AND THE MODIFIED KORTEWEG-DE VRIES EQUATION
Integration of the negative order Korteweg–de Vries equation with a self-consistent source in the class of periodic functions
Integration of equation of Toda periodic chain kind
Instability zones of periodic 1-dimensional Schrödinger and Dirac operators
Borg's Periodicity Theorems for First-Order Self-Adjoint Systems with Complex Potentials
Inverse problem and estimates for periodic Zakharov-Shabat systems
The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations
30 years of finite-gap integration theory
Integrals of nonlinear equations of evolution and solitary waves
Exact envelope-soliton solutions of a nonlinear wave equation
Dubrovin equation for periodic Dirac operator on the half-line
ON INTEGRATION OF THE LOADED KORTEWEG-DE VRIES EQUATION IN THE CLASS OF RAPIDLY DECREASING FUNCTIONS
Integration of a defocusing nonlinear Schrödinger equation with additional terms
Integrating the modified Korteweg–de Vries– sine-Gordon equation in the class of periodic infinite-gap functions

This page was built for publication: Integration of a nonlinear sine-Gordon-Liouville-type equation in the class of periodic infinite-gap functions