Results 81 to 90 of about 817 (182)

Decomposition and linear superposition of the (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation

Results in Physics
Generally, the principle of linear superposition is not applicable in nonlinear systems. The results of our researches prove that for some certain types of decomposed solutions of (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada(CDGKS) equation, the ...
Jianan Wang, Xueping Cheng, Guiming Jin
doaj   +1 more source

Multi-soliton solutions of Klein-Gordon-Zakharov system

In this study, we investigate the Klein-Gordon-Zakharov system with a focus on identifying multi-soliton solutions. Specifically, for a given number $N$ of solitons, we demonstrate the existence of a multi-soliton solution that asymptotically converges, in the energy space, to the sum of these solitons.
Alvarez, Vicente, Esfahani, Amin
openaire   +2 more sources

Solitary Wave Solutions of the coupled Kawahara Equation

Қарағанды университетінің хабаршысы. Математика сериясы
The field of nonlinear differential equations have made significant contribution in understanding nonlinear dynamics and its complex phenomenon. One such evolution equation is Kawahara equation, which has gained its importance in plasma physics and ...
K. Bharatha, R. Rangarajan, C.J. Neethu
doaj   +1 more source

Analytical exploration and parametric insights into optical solitons in magneto-optic waveguides: Advances in nonlinear dynamics for applied sciences

Nonlinear Engineering
Within this study, we delve into novel optical solitons concerning the perturbed nonlinear Schrödinger equation, which governs the propagation of electromagnetic waves in magneto-optic waveguides. These components play vital roles in optical transmission
Chou Dean, Rehman Hamood Ur, Khushi Kiran, Iqbal Ifrah   +3 more
doaj   +1 more source

Non dispersive solutions of the generalized KdV equations are typically multi-solitons

, 2020
We consider solutions of the generalized Korteweg-de Vries equations (gKdV) which are non dispersive in some sense (in the spirit of [18]) and which remain close to multi-solitons. We show that these solutions are necessarily pure multi-solitons. For the Korteweg-de Vries equation (KdV) and the modified Korteweg-de Vries equation (mKdV) in particular ...
openaire   +3 more sources

KP, MKP and G-KP soliton and overtaking collision among multi-soliton propagation in an unmagnetized (2 + 1)-dimensional collisionless plasma environment

Discover Space
This work investigates nonlinear wave dynamics in a (2 + 1)-dimensional plasma using the Kadomtsev–Petviashvili equation (KPE) and its extensions—the modified KPE (MKPE) and Gardner KPE (G-KPE).
Salena Akther, Md. Golam Hafez
doaj   +1 more source

Construction of exact multi-soliton solutions to the modified Gross–Pitaevskii equation and further elastic interactions

AIP Advances
In this paper, the modified Gross–Pitaevskii equation is investigated, taking into account the effects of higher-order interactions (HOIs) in the context of Bose–Einstein condensates.
Cyrille Edgard Nkenfack, Olivier Tiokeng Lekeufack, Timoleon Crepin Kofane   +2 more
doaj   +1 more source

Analytical multi-soliton solutions of a (2+1)-dimensional breaking soliton equation. [PDF]

Springerplus, 2016
Wang SF.
europepmc   +1 more source

Dynamical analysis and exact solitary wave solutions of [Formula: see text]-dimensional integro-differential Jaulent-Miodek equation using two analytical schemes. [PDF]

Sci Rep
Nasir B, Abbas M, Yousaf MZ, Nazir T, El-Rahman MA, Birhanu A.   +5 more
europepmc   +1 more source

Generation of multi-form exact wave solutions and linear stability analysis in the generalized (3+1)-D P-type plasma system using a modified extended mapping technique. [PDF]

Sci Rep
Ghayad MS, Ahmed HM, Badra NM, Rabie WB.
europepmc   +1 more source