Multiple solitons with bifurcations, lump waves, M-shaped and interaction solitons of three component generalized (3+1)-dimensional Breaking soliton system

Saleh Mousa Alzahrani; Talal Alzahrani; Saleh Mousa Alzahrani; Talal Alzahrani

doi:10.3934/math.2023908

AIMS Mathematics

2023, Volume 8, Issue 8: 17803-17826. doi: 10.3934/math.2023908

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Research article

Multiple solitons with bifurcations, lump waves, M-shaped and interaction solitons of three component generalized (3+1)-dimensional Breaking soliton system

Department of Mathematics, University College in Al-Qunfudhah, Umm Al-Qura University, Al-Qunfudhah, Saudi Arabia

Received: 15 March 2023 Revised: 28 April 2023 Accepted: 11 May 2023 Published: 24 May 2023
MSC : 34A25, 35Q51, 74J35, 83C15

The generalized (3+1)-dimensional Breaking soliton system (gBSS) has numerous applications across various scientific fields. This manuscript presents a study on important exact solutions of the gBSS, with a focus on novel solutions. Using the Hirota bilinear technique, we derive the general solution of the proposed system and obtain the novel solutions by considering different types of auxiliary functions. Our analysis includes the study of multi-solitons, multiple bifurcation solitons, lump wave solutions, M-shaped solitons, and their interactions. We also observe several hybrid solitons, including tuning fork-shaped, X-Y shaped, and double Y shaped. Our results are presented through graphical representations.
- Hirota method,
- multiple solitons,
- bifurcation soltions,
- lump waves
Citation: Saleh Mousa Alzahrani, Talal Alzahrani. Multiple solitons with bifurcations, lump waves, M-shaped and interaction solitons of three component generalized (3+1)-dimensional Breaking soliton system[J]. AIMS Mathematics, 2023, 8(8): 17803-17826. doi: 10.3934/math.2023908

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Abstract

The generalized (3+1)-dimensional Breaking soliton system (gBSS) has numerous applications across various scientific fields. This manuscript presents a study on important exact solutions of the gBSS, with a focus on novel solutions. Using the Hirota bilinear technique, we derive the general solution of the proposed system and obtain the novel solutions by considering different types of auxiliary functions. Our analysis includes the study of multi-solitons, multiple bifurcation solitons, lump wave solutions, M-shaped solitons, and their interactions. We also observe several hybrid solitons, including tuning fork-shaped, X-Y shaped, and double Y shaped. Our results are presented through graphical representations.

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