Shock waves in one-dimensional models with cubic nonlinearity

DOI10.1007/BF01016869zbMath0797.35121MaRDI QIDQ1330735

Ramil' F. Bikbaev

Publication date: 14 August 1994

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

zbMATH Keywords

integrable and nonintegrable caseone-dimensional models with cubic nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (4)

Long-time asymptotics for the integrable nonlocal focusing nonlinear Schrödinger equation for a family of step-like initial data ⋮ Whitham modulation theory for (2  +  1)-dimensional equations of Kadomtsev–Petviashvili type ⋮ Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data ⋮ Asymptotic expansion of the solution to the Cauchy problem for the Volterra chain with a step-like initial condition

Cites Work

• Unnamed Item
• Diffraction in a nonlinear defocusing medium
• Theta functions on Riemann surfaces
• Formation of shocklike modified Korteweg–de Vries solitons: Application to double layers

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