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Dynamics of three nonisospectral nonlinear Schrdinger equations 被引量:1

Dynamics of three nonisospectral nonlinear Schrdinger equations
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摘要 Dynamics of three nonisospectral nonlinear Schrdinger equations(NNLSEs), following different time dependencies of the spectral parameter, are investigated. First, we discuss the gauge transformations between the standard nonlinear Schrdinger equation(NLSE) and its first two nonisospectral counterparts, for which we derive solutions and infinitely many conserved quantities. Then, exact solutions of the three NNLSEs are derived in double Wronskian terms. Moreover,we analyze the dynamics of the solitons in the presence of the nonisospectral effects by demonstrating how the shapes,velocities, and wave energies change in time. In particular, we obtain a rogue wave type of soliton solutions to the third NNLSE. Dynamics of three nonisospectral nonlinear Schrdinger equations(NNLSEs), following different time dependencies of the spectral parameter, are investigated. First, we discuss the gauge transformations between the standard nonlinear Schrdinger equation(NLSE) and its first two nonisospectral counterparts, for which we derive solutions and infinitely many conserved quantities. Then, exact solutions of the three NNLSEs are derived in double Wronskian terms. Moreover,we analyze the dynamics of the solitons in the presence of the nonisospectral effects by demonstrating how the shapes,velocities, and wave energies change in time. In particular, we obtain a rogue wave type of soliton solutions to the third NNLSE.
作者 Abdselam Silem Cheng Zhang Da-Jun Zhang Abdselam Silem;张成;张大军(Department of Mathematics,Shanghai University,Shanghai 200444,China)
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第2期82-93,共12页 中国物理B(英文版)
基金 the National Natural Science Foundation of China(Grant Nos.11601312,11631007,and 11875040)
关键词 nonisospectral nonlinear Schrodinger equations gauge transformations bilinear forms SOLITONS rogue waves nonisospectral nonlinear Schrodinger equations gauge transformations bilinear forms solitons rogue waves
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