• Keine Ergebnisse gefunden

Chirped Wave Solutions of a Generalized (3+++1)-Dimensional Nonlinear Schr¨odinger Equation

N/A
N/A
Info
Herunterladen
Protected

Academic year: 2022

Aktie "Chirped Wave Solutions of a Generalized (3+++1)-Dimensional Nonlinear Schr¨odinger Equation"

Copied!
1
0
0

Wird geladen.... (Jetzt Volltext ansehen)

Jetzt herunterladen ( 1 Seite )

Volltext

(1)

Chirped Wave Solutions of a Generalized (3 + + + 1)-Dimensional Nonlinear Schr¨odinger Equation

Xian-Jing Lai and Xiao-Ou Cai

Department of Basic Science, Zhejiang Shuren University, Hangzhou, 310015, Zhejiang, China Reprint requests to X.-J. L.; E-mail:laixianjing@163.com

Z. Naturforsch.66a,392 – 400 (2011); received July 4, 2010 / revised January 20, 2011

The exact chirped soliton-like and quasi-periodic wave solutions of the (3+1)-dimensional gener- alized nonlinear Schr¨odinger equation including linear and nonlinear gain (loss) with variable coef- ficients are obtained detailedly in this paper. The form and the behaviour of solutions are strongly affected by the modulation of both the dispersion coefficient and the nonlinearity coefficient. In ad- dition, self-similar soliton-like waves precisely piloted from our obtained solutions by tailoring the dispersion and linear gain (loss).

Key words:(3+1)-D NLSE; Chirp; Ansatz Method; Soliton-Like Wave Solution; Quasi-Periodic Wave Solution.

PACS numbers:01.55.+b; 02.30.Jr.

Referenzen

Jetzt herunterladen ( PDF - 1 Seite - 19.43 KB )

ÄHNLICHE DOKUMENTE

Chirped Wave Solutions of a Generalized (3+ + +1)-Dimensional Nonlinear Schr¨odinger Equation

The exact chirped soliton-like and quasi-periodic wave solutions of the (3+1)-dimensional gener- alized nonlinear Schr¨odinger equation including linear and nonlinear gain (loss)

Coherent Structures in the (2 + 1)-Dimensional Nonlinear Schr¨odinger Equation with Time-Varying Coefficients

In summary, we have obtained analytical solutions in terms of rational-like functions for the (2 +1)- dimensional nonlinear Schr¨odinger equation with time-varying coefficients

Multi-Soliton Solutions for an Inhomogeneous Nonlinear Schr¨odinger–

Evolution and interaction of the solitons are plotted, and the self-induced transparency effect caused by the doped erbium atoms is found to lead to the change of the soliton

Bifurcation Behaviour of the Travelling Wave Solutions of the Perturbed Nonlinear Schr¨odinger Equation with Kerr Law Nonlinearity

In the recent years, many direct methods have been developed to construct travelling wave solutions to the nonlinear partial differential equations (NLPDEs), such as the

Localized Nonlinear Waves in Nonlinear Schr¨odinger Equation with Nonlinearities Modulated in Space and Time

In this paper, by extending the generalized sub- equation method, we present three families of an- alytical solutions of the one-dimensional nonlinear Schr¨odinger equation

The Bright Soliton Solutions of Two Variable-Coefficient Coupled Nonlinear Schr¨odinger Equations in Optical Fibers

In this paper, with the aid of symbolic computation the bright soliton solutions of two variable- coefficient coupled nonlinear Schr¨odinger equations are obtained by Hirota’s

Nonlinear Schr¨odinger Equations in Optical Fibers

In this paper, with the aid of symbolic computation the bright soliton solutions of two variable- coefficient coupled nonlinear Schr¨odinger equations are obtained by Hirota’s

Novel Excitations of the Nonlinear Schr¨odinger Equation by Separation of Variables

Based on the derived variable separation excitation, some special types of localized solutions such as a curved soliton, a straight-line soliton and a periodic soliton are