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Lump, lump-periodic, lump-soliton and multi soliton solutions for the potential Kadomtsev-Petviashvili type coupled system with variable coefficients [PDF]

Scientific Reports
In this article, the potential Kadomtsev-Petviashvili (pKP) type coupled system with variable coefficients is studied, which have many applications in wave phenomena and soliton interactions in a two-dimensional space with time. In this framework, Hirota
Haiwei Chen, Jalil Manafian, Baharak Eslami, María José Mendoza Salazar , Neha Kumari, Rohit Sharma, Sanjeev Kumar Joshi, K. H. Mahmoud, A. SA. Alsubaie   +8 more
doaj   +4 more sources

Dynamical interaction of solitary, periodic, rogue type wave solutions and multi-soliton solutions of the nonlinear models. [PDF]

Heliyon, 2022
This study presents a modification form of modified simple equation method, namely new modified simple equation method. Multiple waves and interaction of soliton solutions of the Phi-4 and Klein-Gordon models are investigated via the scheme. Consequently,
Mamunur Roshid M, Abdeljabbar A, Aldurayhim A, Rahman MM, Roshid HO, Roshid HO, Alshammari FS.   +6 more
europepmc   +2 more sources

Multi-soliton solutions of the Sawada-Kotera equation using the Hirota direct method: Novel insights into nonlinear evolution equations

Partial Differential Equations in Applied Mathematics, 2023
Recently, mathematicians, engineers, and scientists have explored the unique characteristics and potential applications of multi-solitons, which is an expanding domain of study.
A. K. M. Kazi Sazzad Hossain, M. Ali Akbar   +1 more
doaj   +3 more sources

Multi-soliton solutions of the N-component nonlinear Schrödinger equations via Riemann–Hilbert approach

Nonlinear Dynamics, 2021
In this paper, we utilize the Riemann–Hilbert approach to discuss multi-soliton solutions of the N-component nonlinear Schrödinger equations. Firstly, by transformed Lax pair, we construct the matrix-valued functions P1,2\documentclass[12pt]{minimal ...
Jian Li, Ruiqi Wang
exaly   +2 more sources

A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equations via the linear superposition principle

Nonlinear Analysis: Theory, Methods & Applications, 2020
In this paper, the existence and non-existence of resonant multi-soliton solutions to two different (2+1)-dimensional Hirota–Satsuma–Ito (HSI) equations are explored.
Chun-Ku Kuo, Wen-Xiu Ma
exaly   +2 more sources

Fokas–Lenells equation: Three types of Darboux transformation and multi-soliton solutions

Applied Mathematics Letters, 2020
In this letter, we report two novel Lax pairs for the Fokas–Lenells equation by the gauge transformation. Based on this result, we construct the three Darboux transformations and prove that they are equivalent to each other.
Liming Ling
exaly   +2 more sources

Dynamics of real and complex multi-soliton solutions, novel soliton molecules, asymmetric solitons and diverse wave solutions to the Kadomtsev-Petviashvili equation

Alexandria Engineering Journal
The main center of this exploration is to extract some exact solutions of the (2+1)-dimensional Kadomtsev-Petviashvili equation (KPe), which can be used to model the long wave water waves with weak nonlinear restoring forces and frequency dispersion ...
Peng Xu, Huan Huang, Kang-Jia Wang
doaj   +3 more sources

Optical solitons in Fiber Bragg Gratings for the coupled form of the nonlinear (2+1)-dimensional Kundu-Mukherjee-Naskar equation via four powerful techniques

Results in Physics, 2023
In this article, four powerful techniques namely, the three wave method, double exponential, homoclinic breather, M-Shaped rational, M-Shaped with one kink, and M-Shaped with two kink are putting into practice to bolster the new optical solutions of the ...
Abdulmalik A. Altwaty
doaj   +1 more source

Propagation and interaction between special fractional soliton and soliton molecules in the inhomogeneous fiber

Journal of Advanced Research, 2022
Introduction: Fractional nonlinear models have been widely used in the research of nonlinear science. A fractional nonlinear Schrödinger equation with distributed coefficients is considered to describe the propagation of pi-second pulses in inhomogeneous
Gang-Zhou Wu, Chao-Qing Dai, Yue-Yue Wang, Yi-Xiang Chen   +3 more
doaj   +1 more source

The generalized semidiscrete cmKdV system and the periodic reduction [PDF]

ITM Web of Conferences, 2022
The complete integrability of a multicomponent differentialdifference complex mKdV system with branched dispersion relation is proven. We use two approaches for this purpose.
Babalic Corina N.
doaj   +1 more source