A perturbational approach to the two-soliton systems

DOI10.1016/0167-2789(81)90035-XzbMath1194.37120OpenAlexW2092262669MaRDI QIDQ995073

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)90035-x

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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Cites Work

• A perturbational approach to the two-soliton systems
• Solitons and condensed matter physics. Proceedings of the symposium on nonlinear (soliton) structure and dynamics in condensed matter. Oxford, England, June 27-29, 1978
• 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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