Journal
APPLIED MATHEMATICS LETTERS
Volume 79, Issue -, Pages 6-12Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2017.11.010
Keywords
(2+1)-dimensional Heisenberg ferromagnetic spin chain equation; Lax pair; Infinitely many conservation laws; Solitons; Darboux transformation
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Funding
- National Natural Science Foundation of China [11772017, 61762068]
- Inner Mongolia Talent Development Funded Project
- CERNET Innovation Project [GNII20161209]
- Natural Science Foundation of Inner Mongolia Autonomous Region [2017MS0610]
- Inner Mongolia Key Laboratory of Economic Data Analysis and Mining
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Under investigation in this paper is a (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients. Based on the symbolic computation, Lax pair and infinitely many conservation laws are constructed. Multi-soliton solutions are derived by virtue of the Darboux transformation. Propagation and interaction properties of the solitons are discussed. Amplitude of the soliton is determined by the spectral parameter and wave number, while the velocity is related to both these parameters and the time-dependent coefficients. Elastic interactions between the two solitons are displayed, and their amplitudes keep unchanged after the interaction except for the phase shifts. (C) 2017 Elsevier Ltd. All rights reserved.
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