CHARACTERISTICS OF THE BREATHER AND ROGUE WAVES IN A (2+1)-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION

CHARACTERISTICS OF THE BREATHER AND ROGUE WAVES IN A (2+1)-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION

Under investigation in this paper is a (2+1)-dimensional nonlinear Schrödinger equation (NLS), which is a generalisation of the NLS equation. By virtue of Wronskian determinants, an effective method is presented to succinctly construct the breather wave and rogue wave solutions of the equation. Furt...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society Vol. 146; no. 8; pp. 3353 - 3365
Main Authors: WANG, XIU-BIN, TIAN, SHOU-FU, ZHANG, TIAN-TIAN
Format: Journal Article
Language:English
Published: American Mathematical Society 01-08-2018
Subjects:
B. ANALYSIS
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Summary:Under investigation in this paper is a (2+1)-dimensional nonlinear Schrödinger equation (NLS), which is a generalisation of the NLS equation. By virtue of Wronskian determinants, an effective method is presented to succinctly construct the breather wave and rogue wave solutions of the equation. Furthermore, the main characteristics of the breather and rogue waves are graphically discussed. The results show that rogue waves can come from the extreme behavior of the breather waves. It is hoped that our results could be useful for enriching and explaining some related nonlinear phenomena.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13765