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• W2086797051 abstract "To give rigorous mathematical proofs of chaotic behaviors in a given system, it is necessary to identify the homoclinic structures in the system. In this tutorial review, methods for constructing explicit solutions for nonlinear partial differential equations are presented, with more emphasis placed on those utilizing complete integrability associated with soliton equations. As an extended application, homoclinic orbits to spatial uniform plane waves of coupled modified nonlinear Schrödinger equations are obtained via the dressing method. During the procedure, it is necessary to introduce the Lax pair for these coupled equations, as well as its Floquet spectral analysis and corresponding Bloch functions." @default.
• W2086797051 created "2016-06-24" @default.
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• W2086797051 date "2006-10-01" @default.
• W2086797051 modified "2023-09-24" @default.
• W2086797051 title "A BRIEF SURVEY ON CONSTRUCTING HOMOCLINIC STRUCTURES OF SOLITON EQUATIONS" @default.
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• W2086797051 doi "https://doi.org/10.1142/s0218127406016471" @default.
• W2086797051 hasPublicationYear "2006" @default.
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