[HTML][HTML] Lump-soliton solutions to the Fokas system

J Rao, D Mihalache, Y Cheng, J He - Physics Letters A, 2019 - Elsevier
In this letter, we obtain families of semi-rational solutions termed lump-soliton solutions to
the Fokas system by using the Hirota's bilinear method combined with the Kadomtsev …

Different wave patterns for (2+ 1) dimensional Maccari's equation

J Thilakavathy, R Amrutha, K Subramanian… - Nonlinear …, 2022 - Springer
In this paper, we are concerned with the (2+ 1) dimensional Maccari's equation. With the aid
of Truncated Painlevé Approach (TPA), the localized solutions have obtained in terms of …

Plenteous stationary wave patterns for (2+ 1) dimensional fokas system

J Thilakavathy, R Amrutha, K Subramanian… - Physica …, 2023 - iopscience.iop.org
This paper investigates the most straightforward extension of the (2+ 1) dimensional
Nonlinear Schrödinger (NLS) equation, termed the Fokas system. The evolution equation is …

Painlevé integrability and multi-wave pattern for (2+ 1)-dimensional long wave–short wave resonance interaction system

B Sivatharani, K Subramanian, A Sekar… - Nonlinear …, 2022 - Springer
In this article, Painlevé analysis is employed to test the integrability of (2+ 1)-dimensional
long wave–short wave resonance interaction system using the Weiss–Tabor–Carnevale …

Non-collisional dynamics of (2+ 1)-dimensional Broer-Kaup-Kupershmidt system

K Subramanian - Nonlinear Dynamics, 2024 - Springer
Abstract In this communication, the (2+ 1)-dimensional Broer-Kaup-Kupershmidt (BKK)
system is studied. With the aid of Painlevé Bäcklund transformation method, we have …

Painlevé analysis and new class of novel solutions for (2+ 1)-dimensional 3-component coupled nonlinear Maccari's system

B Sivatharani, JS Ranjore, N Asokan… - Nonlinear …, 2023 - Springer
In this work, Painlevé analysis is used to examine the integrability of the (2+ 1)-dimensional
3-component coupled nonlinear Maccari's system. Subsequently, the truncated Painlevé …

A class of nonlinear wave patterns for (2+ 1) dimensional coupled integrable Maccari's system

B Sivatharani, K Subramanian, MSM Rajan… - Physica …, 2023 - iopscience.iop.org
In this paper, with the aid of Truncated Painlevé Approach,(2+ 1) dimensional Coupled
Integrable Maccaris System is investigated. The obtained result contains some arbitrary …

A novel stationary behaviour of nonlinear wave patterns for the (2+ 1)-dimensional 2-component coupled Maccari's system

B Sivatharani, K Subramanian - Nonlinear Dynamics, 2025 - Springer
In this paper, investigation is made on the (2+ 1)-dimensional 2-component coupled
Maccari's system via the Truncated Painlevé Approach. Through analytical solutions, we …

[PDF][PDF] Localized excitations and their collisional dynamics in (2+ 1)-dimensional Broer–Kaup–Kupershmidt equation

R Radha, CS Kumar - Rom. Rep. Phys, 2022 - rrp.nipne.ro
In this paper, we investigate the (2+ 1)-dimensional Broer-Kaup-Kupershmidt equation
employing the truncated Painlevé approach and we generate localized solutions like …

Invariance Analysis and Conservation Laws of a Modified (2+ 1)-Dimensional Ablowitz-Kaup-Newell-Segur Water Wave Dynamical Equation

MF Seele, B Muatjetjeja… - Journal of Applied …, 2025 - lhscientificpublishing.com
In this paper, we investigate a modified (2+ 1)-dimensional Ablowitz-Kaup-Newell-Segur
(mAKNS) water wave equation. The method of symmetry analysis will be employed to find …