Localized coherent structures of Ishimori equation I through Hirota's bilinearization method: Time dependent/stationary boundaries

DOI10.1016/J.CHAOS.2006.01.032zbMath1152.35498arXivnlin/0408037OpenAlexW2036077599MaRDI QIDQ2519662

Yanyan Li

Publication date: 27 January 2009

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0408037

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items (1)

Ishimori-I equation with self-consistent sources

Cites Work

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• Coherent structures for the Ishimori equation. I: Localized solitons with stationary boundaries
• Coherent structures for the Ishimori equation. II: Time-dependent boundaries
• Localized coherent structures and integrability in a generalized \((2+1)\)-dimensional nonlinear Schrödinger equation
• Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation
• Exotic coherent structures in the (2+1) dimensional long dispersive wave equation
• Inverse spectral transform for the Ishimori equation: I. Initial value problem
• Inverse Spectral Transform for the Modified Kadomtsev-Petviashvili Equation
• A new class of induced localized coherent structures in the (2 + 1)-dimensional nonlinear Schrödinger equation
• Motion of curves and surfaces and nonlinear evolution equations in (2+1) dimensions

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