Elusive exotic structures and their collisional dynamics in (2+1)-dimensional Boiti-Leon-Pempinelli equation

Radha, R and Singh, Sudhir and Senthil Kumar, C and Lou, Senyue (2022) Elusive exotic structures and their collisional dynamics in (2+1)-dimensional Boiti-Leon-Pempinelli equation. Physica Scripta, 97 (12). p. 125211. ISSN 0031-8949

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Abstract

In this paper, we investigate the (2+1) dimensional Boiti-Leon-Pempinelli (BLP) equation employing truncated Painlevé expansion approach and extract a plethora of localized nonlinear waves, including multi-dromions, multi-lumps, multi-rogue waves, generalized-breathers etc. The dromions are characterized as bright, dark and mixed (bright-dark) based on their intensity. The collisional dynamics of dromions shows that they change their shape or form upon interaction in addition to undergoing a phase change. The lump solutions of orders one and two are also extracted through appropriate test functions and observed to be non-interacting in nature. Also, the first-order and second-order rogue waves are also obtained through rational polynomials and shown to be unstable. The generalized breathers are obtained by utilizing the three-wave test function. The highlights of our investigation is that one encounters a strange coherent structure called "dromion filter" which contains a dynamic and a stationary dromion. In addition, we are also able to unearth a "coexistent dromion-line soliton".

Item Type: Article
Subjects: Mathematics > Mathematical Physics
Divisions: Medicine > Vinayaka Mission's Medical College and Hospital, Karaikal > Medicine
Depositing User: Unnamed user with email techsupport@mosys.org
Last Modified: 02 Dec 2025 09:06
URI: https://vmuir.mosys.org/id/eprint/2680

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