Results 41 to 50 of about 554,383 (268)

General multi-soliton and higher-order soliton solutions for a novel nonlocal Lakshmanan–Porsezian–Daniel equation

Nonlinear dynamics, 2022
The inverse scattering transformation for a novel nonlocal Lakshmanan–Porsezian–Daniel (LPD) equation with rapidly decaying initial data is studied in the framework of Riemann–Hilbert problem.
Minmin Wang, Yong Chen
semanticscholar   +1 more source

A new integrable equation with peakon solutions [PDF]

, 2002
We consider a new partial differential equation recently obtained by Degasperis and Procesi using the method of asymptotic integrability; this equation has a form similar to the Camassa-Holm shallow water wave equation.
Holm, DD, Degasperis, A, Hone, ANW, Degasperis, A., Holm, Darryl D., Hone, Andrew N.W.   +5 more
core   +1 more source

Continuous limit, various exact solutions, kink soliton resonant phenomena and dynamical behaviors for a discrete Burgers equation

Results in Physics, 2022
The Burgers equation can describe some phenomena such as turbulence, shock wave and traffic flow dynamics problems. Under consideration in this paper is a discrete Burgers equation, which can be viewed as the discrete counterpart of Burgers equation ...
Ting Zhang, Xiao-Yong Wen, Zhe Lin
doaj   +1 more source

Multi-soliton solutions, breather-like and bound-state solitons for complex modified Korteweg–de Vries equation in optical fibers

Chinese Physics B
Under investigation in this paper is a complex modified Korteweg–de Vries (KdV) equation, which describes the propagation of short pulses in optical fibers.
Zhong-Zhou 中周 Lan 兰
semanticscholar   +1 more source

A note on loop-soliton solutions of the short-pulse equation

, 2010
It is shown that the N-loop soliton solution to the short-pulse equation may be decomposed exactly into N separate soliton elements by using a Moloney-Hodnett type decomposition.
E.J. Parkes, Parkes, E.J.
core   +1 more source

S(3) skyrmions and the rational map ansatz [PDF]

, 2000
This paper discusses multi-skyrmions on the 3-sphere with variable radius L using the rational map ansatz. For baryon number B = 3,...,9 this ansatz produces the lowest energy solutions known so far.
Krusch, Steffen
core   +1 more source

Exploring Propagating Soliton Solutions for the Fractional Kudryashov–Sinelshchikov Equation in a Mixture of Liquid–Gas Bubbles under the Consideration of Heat Transfer and Viscosity

Fractal and Fractional, 2023
In this research work, we investigate the complex structure of soliton in the Fractional Kudryashov–Sinelshchikov Equation (FKSE) using conformable fractional derivatives.
Rashid Ali, Ahmed S. Hendy, Mohamed R. Ali, Ahmed M. Hassan, Fuad A. Awwad, Emad A. A. Ismail   +5 more
doaj   +1 more source

N-Lump to the (2+1)-Dimensional Variable-Coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada Equation

Complexity, 2022
In this research, the (2 + 1)-dimensional (D) variable-coefficient (VC) Caudrey–Dodd–Gibbon–Kotera–Sawada model used in soliton hypothesis and implemented by operating the Hirota bilinear scheme is studied.
Junjie Li, Jalil Manafian, Aditya Wardhana, Ali J. Othman, Ismail Husein, Mohaimen Al-Thamir, Mostafa Abotaleb   +6 more
doaj   +1 more source

Integrability, breather, rogue wave, lump, lump-multi-stripe, and lump-multi-soliton solutions of a (3 + 1)-dimensional nonlinear evolution equation

The Physics of Fluids
In this article, we consider a new (3 + 1)-dimensional evolution equation, which can be used to interpret the propagation of nonlinear waves in the oceans and seas.
U. Mandal, Amiya Das, Wen-Xiu Ma
semanticscholar   +1 more source

Solitary wave analysis of the Kadomtsev–Petviashvili model in mathematical physics

Arab Journal of Basic and Applied Sciences, 2023
The (3 + 1)-dimensional Kadomtsev–Petviashvili equation has significant applications that emerge in the study of fluids and multi-component plasmas. The main object of our study is to investigate stable and efficient solitary solutions to the stated wave
Md. Ekramul Islam, Md. Motaleb Hossain, Khalifa Mohammad Helal, Udoy S. Basak, Rajandra Chadra Bhowmik, M. A. Akbar   +5 more
doaj   +1 more source