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

Radha, R. and Singh, Sudhir and Kumar, C. Senthil and Lou, Senyue (2022) Elusive exotic structures and their collisional dynamics in (2+1)-dimensional Boiti-Leon-Pempinelli equation. PHYSICA SCRIPTA, 97.0 (12). ISSN 0031-8949

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Abstract

In this paper, we investigate the (2+1) dimensional Boiti-Leon-Pempinelli (BLP) equation employing truncated Painleve 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
Uncontrolled Keywords: localized solutions, truncated Painleve' expansion approach, singular manifold, dromions, lumps, rogue waves, breathers
Subjects: Multi-Disciplinary Studies > Multidisciplinary
Physics and Astronomy > Physics
Divisions: Nursing > Vinayaka Mission's Annapoorna College of Nursing, Salem
Medicine > Vinayaka Mission's Medical College and Hospital, Karaikal
Nursing > Vinayaka Mission's College of Nursing, Karaikal
Nursing > Vinayaka Mission's College of Nursing, Puducherry
Pharmacy > Vinayaka Mission’s College of Pharmacy, Salem
Physiotherapy > Vinayaka Mission's College of Physiotherapy, Salem
Homoeopathy > Vinayaka Mission's Homoeopathic Medical College and Hospital, Salem
Medicine > Vinayaka Mission's Kirupananda Variyar Medical College and Hospital, Salem
Arts and Science > Vinayaka Mission's Kirupananda Variyar Arts and Science College, Salem, India
Engineering and Technology > Vinayaka Mission's Kirupananda Variyar Engineering College, Salem, India
Law > Vinayaka Mission's Law School, Chennai
Medicine > Vinayaka Mission's Medical College, Kottucherry
Medicine > Vinayaka Mission's Medical College, Puducherry
Physical Education > Vinayaka Mission's College of Physical Education, Salem
Interdisciplinary Studies > Vinayaka Mission's School of Health Systems, Chennai
Dentistry > Vinayaka Mission‘s Sankarachariyar Dental College, Salem
Liberal Arts > Vinayaka Mission's School of Economics and Public Policy, Chennai
Depositing User: Unnamed user with email techsupport@mosys.org
Last Modified: 06 Feb 2026 07:13
URI: https://ir.vmrfdu.edu.in/id/eprint/7141

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