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Optical and Quantum Electronics

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01-12-2023

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

Author: Shaofu Wang

Published in: Optical and Quantum Electronics | Issue 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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Title: Soliton solutions for a (3 + 1)-dimensional nonlinear integrable equation
Author: Shaofu Wang
Publication date: 01-12-2023
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 13/2023
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05444-x

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