Results 91 to 100 of about 269,887 (159)

The Study on the Soliton Solution of the Generalized Burgers-Fisher System

, 2010
By introducing the (G'/G)-expansion method, the exact soliton solution is constructed for generalized burgers-fisher system. The two classes of soliton, namely, kink-like soliton and anti-kink-like soliton are studied for the system.
Bang Qing Li, Yu Lan Ma
core   +1 more source

Multisoliton solution of a class of coupled soliton equations

, 2001
The N-soliton solutions of the Korteweg-deVries (KdV) and Boussinesq equations with a source are obtained explicitly by using the bilinear transformation method.
Osman, E.-S., Rida, S.Z.
core   +1 more source

Dynamics of bright solitary matter-waves [PDF]

, 2013
This thesis describes the formation of a 85Rb Bose-Einstein condensate and the subsequent creation of a bright solitary matter-wave in a quasi-one-dimensional optical waveguide, with experiments investigating the dynamics of a solitary wave in comparison
WILES, TIMOTHY,PETER, Timothy Peter Wiles   +1 more
core  

Numerical soliton solution of the Kaup-Kupershmidt equation

, 2011
Purpose - The purpose of this paper is to obtain soliton solution of the Kaup-Kupershmidt (KK) equation with initial condition. The most important feature of this method is to obtain the solution without direct transformation. Design/methodology/approach
Mohyud-Din, Syed Tauseef, Sariaydin, Selin, Yildirim, Ahmet   +2 more
core   +1 more source

The Internal Structure of the Two-Soliton Solution to Nonlinear Evolution Equations of a Certain Class

, 2007
We consider the class of nonlinear evolution equations that have N-soliton solutions for the dependent variable u(x; t), where u = 2(ln f)xx and f is obtainable by Hirota's method. The N-soliton solution is decomposed into a sum P N i=1 u i , where,
John Parkes, Fiona Campbell
core  

ANALYSIS OF THE RESULTS OF COMPUTER SIMULATION N-SOLITON SOLUTIONS OF THE KORTEWEG – DE VRIES EQUATION

, 2017
The results of computer simulation N-soliton solutions of the Korteweg – de Vries equation with N = 1, 2, 3, 4 are shown. Using numerical experiment the property of conservation of area under the envelope of soliton solutions of the Korteweg – de Vries ...
Y. F. Novik
core  

On the Camassa–Holm equation and a direct method of solution. III. N-soliton solutions

In the concluding study (designated III), we modify the direct bilinear transformation method for solving the Camassa–Holm (CH) equation that was set down in part II of this work. We demonstrate its efficacy for finding analytic multisoliton solutions of
Parker A
core  

N-wave interactions related to simple lie algebras. ℤ2-reductions and soliton solutions

, 2018
The reductions of the integrable N-wave type equations solvable by the inverse scattering method with the generalized Zakharov-Shabat systems L and related to some simple Lie algebra g are analysed.
Grahovski, G G, Kostov, N A, Gerdjikov, V S, Ivanov, R I   +3 more
core  

Linear stability and dispersive soliton propagation in nonlinear media subject to parabolic phase modulation. [PDF]

Sci Rep
Morgan M, Ahmed HM, Sayed M, Soliman M.
europepmc   +1 more source

On soliton solutions of the Kaup-Kupershmidt equation. II. \u27Anomalous\u27 N-soliton solutions

In the second of two articles (designated I [Physica D 137 (2000) 25] and II), exact soliton solutions of the Kaup-Kupershmidt equation are derived using a simplified approach based in part on Hirota\u27s bilinear transform.
Parker A
core