Results 1 to 10 of about 817 (182)

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

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   +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

The (3+1)-dimensional Boussinesq equation: Novel multi-wave solutions

Results in Physics, 2023
The Boussinesq equation is a partial differential equation that describes the behavior of waves in shallow water. In this paper, we address some new dynamical behaviors to the (3+1)-dimensional Boussinesq equation, which are not constructed beforehand ...
Hajar Farhan Ismael
doaj   +1 more source

Novel soliton solutions and localized structures of KdV equation

Results in Physics, 2023
A (1 + 1)-dimensional Korteweg-de Vries (KdV) equation is studied. Using the extended Tanh-function method, the analytical soliton solutions are obtained by symbolic calculation, and the localized coherent structures containing the compacton, the peakon,
Shaofu Wang
doaj   +1 more source

Abundant soliton wave solutions and the linear superposition principle for generalized (3+1)-D nonlinear wave equation in liquid with gas bubbles by bilinear analysis

Results in Physics, 2022
In this article, we study the generalized (3+1)-dimensional nonlinear wave equation where is investigated in soliton theory and by employing the Hirota’s bilinear method the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiping Shen, Jalil Manafian, Dinh Tran Ngoc Huy, Kottakkaran Sooppy Nisar, Mostafa Abotaleb, Nguyen Dinh Trung   +5 more
doaj   +1 more source

Multi-soliton solutions of affine Toda models [PDF]

Nuclear Physics B, 1995
Latex, 25 Pages, UB-TH ...
Zhu, Z., Caldi, D. G.
openaire   +3 more sources