期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 62, 期 -, 页码 480-488出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2018.01.008
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资金
- National Natural Science Foundation of China [11171073]
- Natural Science Foundation of Shanghai [16ZR1402600]
- Key Laboratory of Mathematics for Nonlinear Sciences of Ministry of Education of China
A nonlocal derivative nonlinear Schrodinger equation is discussed. By constructing its Darboux transformations of degree 2 n, the explicit expressions of new solutions are derived from zero seed solutions. Usually the derived solutions of this nonlocal equation may have singularities. However, it is shown that the solutions of the nonlocal derivative nonlinear Schrodinger equation can be globally defined and bounded for all (x, t) if the eigenvalues and the parameters characterizing the ratio of the two entries of the solutions of the Lax pair are chosen properly. (c) 2018 Elsevier B.V. All rights reserved.
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