Truncated Painlevé Expansion – A Unified Approach to Exact Solutions and Dromion Interactions of (2+1)-Dimensional Nonlinear Systems-Reference-Cited by-同舟云学术

Truncated Painlevé Expansion – A Unified Approach to Exact Solutions and Dromion Interactions of (2+1)-Dimensional Nonlinear Systems

Published:2007-04-01 Issue:3-4 Volume:62 Page:107-116
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Radha Ramaswamy¹²³,Tang Xiao Yan¹,Lou Sen Yue¹³

Affiliation:

1. Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, China

2. Department of Physics, Govt. College for Women, Kumbakonam-612001, India

3. Center of Nonlinear Science, Ningbo University, Ningbo, 315211, China

Abstract

In this paper, we formulate a method wherein we harness the results of the Painlevé analysis to generate the solutions of the (2+1)-dimensional Ablowitz-Kaup-Newell-Segur system completely in terms of the arbitrary functions. This method is mainly based on the results of the truncated Painlevé expansion. Different types of interactions among dromions are deeply understood both analytically and numerically. Especially, different from the traditional viewpoint, we point out that the soliton (dromion) fission and fusion may be an approximate phenomenon.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2007-3-401/pdf

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