A perturbation theory for soliton systems

DOI10.1016/0167-2789(81)90123-8zbMath1194.37122OpenAlexW1994575784MaRDI QIDQ995034

V. I. Karpman, Vyacheslav V. Solov'ev

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(81)90123-8

Mathematics Subject Classification ID

Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (14)

Inelastic interactions of solitons in nearly integrable systems. I ⋮ Inelastic interactions of solitons in nearly integrable systems. II ⋮ Bifurcations and Traveling Wave Solutions of Lakshmanan–Porsezian–Daniel Equation with Parabolic Law Nonlinearity ⋮ Nonlinear dynamics of DNA systems with inhomogeneity effects ⋮ Soliton solution of a singularly perturbed KdV equation ⋮ Nonlinear lattice dynamics of Bose–Einstein condensates ⋮ A universal separatrix map for weak interactions of solitary waves in generalized nonlinear Schrödinger equations ⋮ Weak interaction for higher-order nonlinear Schrödinger equation: an application of soliton perturbation ⋮ Soliton complex dynamics in strongly dispersive medium. ⋮ On the formation of bound states by interacting nonlocal solitary waves ⋮ Asymptotic Analysis of Pulse Dynamics in Mode-Locked Lasers ⋮ Separatrix Map Analysis for Fractal Scatterings in Weak Interactions of Solitary Waves ⋮ The One-Dimensional Case ⋮ Solitary Wave Collisions

Cites Work

• A perturbational approach to the two-soliton systems
• Nonlinear-Evolution Equations of Physical Significance
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
• Synchronized solitons
• Damped double solitons in the nonlinear Schrödinger equation
• Soliton Evolution in the Presence of Perturbation
• Integrals of nonlinear equations of evolution and solitary waves
• Exact Invariants for a Class of Nonlinear Wave Equations

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