The singular solutions of a nonlinear evolution equation taking continuous part of the spectral data into account in inverse scattering method

被引：20
|
作者：
Vakhnenko, V. O. [1 ]
Parkes, E. J. [2 ]
机构：
[1] Natl Acad Sci Ukraine, Inst Geophys, UA-01054 Kiev, Ukraine
[2] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland
来源：
CHAOS SOLITONS & FRACTALS | 2012年 / 45卷 / 06期
关键词：
LOOP SOLITON SOLUTION; VAKHNENKO EQUATION;
D O I：
10.1016/j.chaos.2012.02.019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A procedure for finding the solutions of the Vakhnenko-Parkes equation by means of the inverse scattering method is described. Both the bound state spectrum and the continuous spectrum are considered in the associated eigenvalue problem. The suggested special form of the singularity function gives rise to periodic solutions. The interaction of a soliton with a one-mode periodic wave is studied. (C) 2012 Elsevier Ltd. All rights reserved.
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页码：846 / 852
页数：7
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