Evolution of solitonless wave packets in the nonlinear Schrödinger equation and the Korteweg-de Vries equation with dissipative perturbations

DOI10.1007/BF01037865zbMath0618.35098MaRDI QIDQ1822274

Boris A. Malomed

Publication date: 1986

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

zbMATH Keywords

explicit solutionsKorteweg-de Vriessine-Gordon equationsNonlinear Schrödingerlogarithmic approximationnonsoliton (dispersive) wavetrainsmall dissipative perturbing termssoliton production threshold

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

Variational principles for nonlinear fiber optics

Cites Work

• Quantum field theory techniques in graphical enumeration
• Stability of Spatially Periodic Supercritical Flows in Hydrodynamics
• A non-linear instability theory for a wave system in plane Poiseuille flow
• Non-linear wave-number interaction in near-critical two-dimensional flows

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