Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion

DOI10.1016/S0167-2789(00)00078-6zbMath0962.35165OpenAlexW2020733636MaRDI QIDQ1586881

V. I. Karpman, Arkadi G. Shagalov

Publication date: 18 June 2001

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(00)00078-6

zbMATH Keywords

stabilityexistencesolitonsnonlinear Schrödinger type equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)

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Cites Work

• Unnamed Item
• Radiative effects to the adiabatic dynamics of envelope-wave solitons
• Solitons of the fourth order nonlinear Schrödinger equation
• A modulation method for self-focusing in the perturbed critical nonlinear Schrödinger equation
• Lyapunov approach to the soliton stability in highly dispersive systems. I: Fourth order nonlinear Schrödinger equations
• Solitons and their stability in high dispersive systems. I: Fourth-order nonlinear Schrödinger-type equations with power-law nonlinearities
• Blow-up in Nonlinear Schroedinger Equations-I A General Review
• Subcritical localization in the discrete nonlinear Schrodinger equation with arbitrary power nonlinearity

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