Complex Whitham deformations in problems with ``integrable instability

DOI10.1007/BF02068740zbMath0853.35111MaRDI QIDQ5917837

Ramil' F. Bikbaev

Publication date: 3 September 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationWhitham deformationboundary conditions of step typefinite-density boundary conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value ⋮ The focusing NLS equation with step-like oscillating background: scenarios of long-time asymptotics ⋮ Long time asymptotics for the focusing nonlinear Schrödinger equation in the solitonic region with the presence of high-order discrete spectrum ⋮ Initial-boundary value problem for stimulated Raman scattering model: solvability of Whitham type system of equations arising in long-time asymptotic analysis ⋮ Dispersive shock wave, generalized Laguerre polynomials, and asymptotic solitons of the focusing nonlinear Schrödinger equation

Cites Work

• On the parametrization of finite-gap solutions by frequency and wavenumber vectors and a theorem of I. Krichever
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
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