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Optical and Quantum Electronics

Erschienen in:

01.02.2024

Localized excitation and fractal structures of a (2 + 1)-dimensional Longwater wave equation

verfasst von: S.-f Wang

Erschienen in: Optical and Quantum Electronics | Ausgabe 2/2024

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Abstract

The purpose of this paper is to obtain some variable separation solitary solutions of (2 + 1)-dimensional nonlinear long water wave (LWW) equation through symbolic computation. By applying Riccati equation mapping method, the localized dromion excitations are constructed and different number of \(M \times N\) multi-dromions are described by selecting appropriate functions for the LWW equations, which provide a model of the interaction between two waves propagation consequently, the solition solutions are obtained in different forms of dynamical structures. Moreover, the collision phenomena between two multidromions are explored he fractal structure was also investigated. The results have rich physical structures that are helpful to explain the nonlinear solitary phenomena in nonlinear physics.

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Titel: Localized excitation and fractal structures of a (2 + 1)-dimensional Longwater wave equation
verfasst von: S.-f Wang
Publikationsdatum: 01.02.2024
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 2/2024
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05731-7

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