The linear KdV equation with an interface

DOI10.1007/s00220-016-2690-zzbMath1351.35170arXiv1508.03596OpenAlexW2141271425MaRDI QIDQ329945

Natalie E. Sheils, Bernard Deconinck, David Andrew Smith

Publication date: 24 October 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03596

zbMATH Keywords

interface problemFokas's unified transform methodlinear Korteweg-de Vries (KdV) equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

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Cites Work

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• Fokas transform method for a brain tumor invasion model with heterogeneous diffusion in 1+1 dimensions
• Fast integration of rapidly oscillatory functions
• Heat conduction on the ring: interface problems with periodic boundary conditions
• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Heat equation on a network using the Fokas method
• A Unified Approach to Boundary Value Problems
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• The time-dependent Schrödinger equation with piecewise constant potentials
• Interface Problems for Dispersive Equations
• Gibbs Phenomenon for Dispersive PDEs on the Line
• The Method of Fokas for Solving Linear Partial Differential Equations
• A transform method for linear evolution PDEs on a finite interval