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

Ramaswamy Radha; Xiao Yan Tang; Sen Yue Lou

doi:10.1515/zna-2007-3-401

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

Ramaswamy Radha
, Xiao Yan Tang
, Sen Yue Lou

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

In this paper, we formulate a method wherein we harness the results of the Painleve 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 Painleve 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.

Original language	English
Pages (from-to)	107-116
Number of pages	10
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	62
Issue number	3-4
DOIs	https://doi.org/10.1515/zna-2007-3-401
State	Published - Apr 2007
Externally published	Yes

Keywords

Dromion Interactions
Exact Solutions
Truncated Painleve Expansion

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10.1515/zna-2007-3-401

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title = "Truncated Painlev{\'e} Expansion - A Unified Approach to Exact Solutions and Dromi on Interactions of (2+1)-Dimensional Nonlinear Systems",

abstract = "In this paper, we formulate a method wherein we harness the results of the Painleve 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 Painleve 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.",

keywords = "Dromion Interactions, Exact Solutions, Truncated Painleve Expansion",

author = "Ramaswamy Radha and Tang, \{Xiao Yan\} and Lou, \{Sen Yue\}",

year = "2007",

month = apr,

doi = "10.1515/zna-2007-3-401",

language = "英语",

volume = "62",

pages = "107--116",

journal = "Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences",

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T1 - Truncated Painlevé Expansion - A Unified Approach to Exact Solutions and Dromi on Interactions of (2+1)-Dimensional Nonlinear Systems

AU - Radha, Ramaswamy

AU - Tang, Xiao Yan

AU - Lou, Sen Yue

PY - 2007/4

Y1 - 2007/4

N2 - In this paper, we formulate a method wherein we harness the results of the Painleve 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 Painleve 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.

AB - In this paper, we formulate a method wherein we harness the results of the Painleve 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 Painleve 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.

KW - Dromion Interactions

KW - Exact Solutions

KW - Truncated Painleve Expansion

UR - https://www.scopus.com/pages/publications/39049118395

U2 - 10.1515/zna-2007-3-401

DO - 10.1515/zna-2007-3-401

M3 - 文章

AN - SCOPUS:39049118395

SN - 0932-0784

VL - 62

SP - 107

EP - 116

JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

IS - 3-4

ER -

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

Abstract

Keywords

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