The Elliptic Sinh-Gordon Equation in the Quarter Plane

DOI10.1080/14029251.2016.1135646zbMath1420.35360OpenAlexW2222743201MaRDI QIDQ5231017

Guenbo Hwang

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2016.1135646

zbMATH Keywords

boundary value problemintegrable systemsinh-Gordon Equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (3)

The elliptic sinh-Gordon equation in a semi-strip ⋮ Symmetry reductions and new functional separable solutions of nonlinear Klein–Gordon and telegraph type equations ⋮ Discrete linear evolution equations in a finite lattice

Cites Work

• Unnamed Item
• Spectral analysis of the elliptic sine-Gordon equation in the quarter plane
• Integrable nonlinear evolution equations on the half-line
• On the integrability of linear and nonlinear partial differential equations
• Two–dimensional linear partial differential equations in a convex polygon
• The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation
• The unified method: I. Nonlinearizable problems on the half-line
• Integrable two-dimensional generalisation of the sine- and sinh-Gordon equations
• A Unified Approach to Boundary Value Problems
• Initial-boundary-value problems for discrete evolution equations: discrete linear Schrödinger and integrable discrete nonlinear Schrödinger equations
• Direct and inverse scattering problem associated with the elliptic sinh-Gordon equation
• A unified transform method for solving linear and certain nonlinear PDEs
• The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs
• The Fokas Method: The Dirichlet to Neumann Map for the Sine‐Gordon Equation
• The Modified Korteweg-de Vries Equation on the Half-Line with a Sine-Wave as Dirichlet Datum
• A Perturbative Approach for the Asymptotic Evaluation of the Neumann Value Corresponding to the Dirichlet Datum of a Single Periodic Exponential for the NLS
• The elliptic sinh-Gordon equation in the half plane
• The elliptic sine-Gordon equation in a half plane

This page was built for publication: The Elliptic Sinh-Gordon Equation in the Quarter Plane