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Optical and Quantum Electronics

Erschienen in:

01.12.2023

Soliton solutions for a (3 + 1)-dimensional nonlinear integrable equation

verfasst von: Shaofu Wang

Erschienen in: Optical and Quantum Electronics | Ausgabe 13/2023

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Abstract

In order to obtain the local structural solutions of nonlinear integrable systems, a (3 + 1)-dimensional nonlinear integrable equation is studied by using the multi-linear variable separation method, and the soliton, dromion, breather and instanton solutions containing arbitrary functions are obtained. Then, the abundant local excitations for the proposed equations are constructed by appropriately setting arbitrary function forms, and the evolution characteristics of system’s dromion solutions with time are investigated. In addition, the fractal structure of the separable solution of the system was described. The results show that the proposed method can obtain some special solutions and this method has been extended in different ways so as to enroll more low-dimensional functions in the solution.

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Titel: Soliton solutions for a (3 + 1)-dimensional nonlinear integrable equation
verfasst von: Shaofu Wang
Publikationsdatum: 01.12.2023
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 13/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05444-x

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