A coupling problem for entire functions and its application to the long-time asymptotics of integrable wave equations

DOI10.1088/0951-7715/29/3/1036zbMath1338.37106arXiv1305.2487OpenAlexW3102822733WikidataQ57343476 ScholiaQ57343476MaRDI QIDQ2807480

Gerald Teschl, Jonathan Eckhardt

Publication date: 25 May 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2487

zbMATH Keywords

long-time asymptoticsCamassa-Holm equationcoupling problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Entire functions of one complex variable (general theory) (30D20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (5)

Riemann-Hilbert approach for the FQXL model: A generalized Camassa-Holm equation with cubic and quadratic nonlinearity ⋮ Long-Time Asymptotics for the Modified Camassa–Holm Equation with Nonzero Boundary Conditions ⋮ A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions ⋮ The inverse spectral transform for the conservative Camassa-Holm flow with decaying initial data ⋮ Unique solvability of a coupling problem for entire functions

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