Results 131 to 140 of about 554,383 (268)

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

MULTI-SOLITON SOLUTIONS OF THE GENERALIZED WEIERSTRASS SYSTEM [PDF]

Nonlinearity, Integrability and All That, 2000
P. BRACKEN, A. M. GRUNDLAND
openaire   +1 more source

Darboux transformation and multi-soliton solutions of local/nonlocal N-wave interactions

, 2017
We study matrix Darboux transformation (MDT) for the generalized N-wave interactions (local/nonlocal) and express multi-soliton solutions in terms of ratios of determinants.
H. Sarfraz, U. Saleem
core   +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
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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

Bäcklund transformation and multi-soliton solutions for the discrete Korteweg-de Vries equation

Applied Mathematics Letters, 2021
Suyalatu Dong, Zhong-Zhou Lan, Bo Gao, Yujia Shen   +3 more
semanticscholar   +1 more source

A non-commutative semi-discrete Toda equation and its quasi-determinant solutions [PDF]

, 2009
C. X. LI, J. J. C. NIMMO, Li, C.X., Nimmo, J.J.C.   +3 more
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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

Soliton solutions to integrable equations

, 2010
In recent years, integrable systems and soliton theory play an important role in the study of nonlinear water wave equations. In this thesis, we will focus on the procedure of how to get soliton solutions for integrable equations. The fundamental idea is
Wang, Haiqi
core