A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations

DOI10.1007/S00332-024-10030-WMaRDI QIDQ6493946

Bao-Feng Feng, Guo-Fu Yu, Han-Han Sheng

Publication date: 29 April 2024

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials
Darboux transformation for the vector sine-Gordon equation and integrable equations on a sphere
On a class of physically important integrable equations
An integrable chain and bi-orthogonal polynomials
Quantum integrable models and discrete classical Hirota equations
On Hirota's difference equations
Propagation of ultra-short optical pulses in cubic nonlinear media
Integrable discretization of soliton equations via bilinear method and Bäcklund transformation
Dressing method for the vector sine-Gordon equation and its soliton interactions
Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation
Discrete Systems and Integrability
A novel multi-component generalization of the short pulse equation and its multisoliton solutions
T-systems andY-systems in integrable systems
An integrable generalization of the sine-Gordon equation on the half-line
Convergence Acceleration Algorithm via an Equation Related to the Lattice Boussinesq Equation
On Equations Which Describe Pseudospherical Surfaces
An integrable semi-discretization of the Camassa–Holm equation and its determinant solution
A direct method for solving the generalized sine-Gordon equation
Integrable discretizations for the short-wave model of the Camassa–Holm equation
The Toda molecule equation and the 𝜖-algorithm
Casorati determinant solution for the relativistic Toda lattice equation
Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy
Generating Solutions to Discrete sine-Gordon Equation from Modified Bäcklund Transformation
A direct method for solving the generalized sine-Gordon equation II
On a novel integrable generalization of the sine-Gordon equation
Integrable semi-discretization of a multi-component short pulse equation
Integrable discretizations of the short pulse equation
An integrable semi-discrete Degasperis–Procesi equation
Riemann–Hilbert approach for discrete sine‐Gordon equation with simple and double poles
An integrable semidiscretization of the modified Camassa–Holm equation with linear dispersion term
Integrable semi-discretizations and self-adaptive moving mesh method for a generalized sine-Gordon equation

This page was built for publication: A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations