An initial-boundary value problem for the Korteweg-de Vries equation with dominant surface tension

DOI10.1007/s10440-013-9830-7zbMath1285.35100OpenAlexW2155806279MaRDI QIDQ2439465

Pham Loi Vu

Publication date: 14 March 2014

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-013-9830-7

zbMATH Keywords

consistency conditionKorteweg-de Vries equationinverse scattering problemsGelfand-Levitan-Marchenko equationdifferent spectral planesremain analyticself-conjugate scattering problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (1)

The description of reflection coefficients of the scattering problems for finding solutions of the Korteweg–de Vries equations

Cites Work

• Unnamed Item
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates
• Initial boundary value problem for the KdV equation on a semiaxis with homogeneous boundary conditions
• KdV equation on a half-line with the zero boundary condition
• Integrable nonlinear evolution equations on the half-line
• The Initial-Boundary Value Poblem for the Korteweg-de Vries Equation on the Positive Quarter-Plane
• The Linearization of the Initial-Boundary Value Problem of the Nonlinear Schrödinger Equation

This page was built for publication: An initial-boundary value problem for the Korteweg-de Vries equation with dominant surface tension