Reciprocal transformations of the space-time shifted nonlocal short pulse equations

doi:10.1088/1674-1056/ac673b

中国物理B ›› 2022, Vol. 31 ›› Issue (12): 120201-120201.doi: 10.1088/1674-1056/ac673b

Reciprocal transformations of the space-time shifted nonlocal short pulse equations

Jing Wang(王静), Hua Wu(吴华), and Da-Jun Zhang(张大军)^†

Department of Mathematics, Shanghai University, Shanghai 200444, China

收稿日期:2022-03-19 修回日期:2022-04-08 接受日期:2022-04-14 出版日期:2022-11-11 发布日期:2022-11-19
通讯作者: Da-Jun Zhang E-mail:djzhang@staff.shu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11875040 and 12171308).

Reciprocal transformations of the space-time shifted nonlocal short pulse equations

Jing Wang(王静), Hua Wu(吴华), and Da-Jun Zhang(张大军)^†

Department of Mathematics, Shanghai University, Shanghai 200444, China

Received:2022-03-19 Revised:2022-04-08 Accepted:2022-04-14 Online:2022-11-11 Published:2022-11-19
Contact: Da-Jun Zhang E-mail:djzhang@staff.shu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11875040 and 12171308).

摘要/Abstract

摘要： Reciprocal transformations of the space-time shifted nonlocal short pulse equations are elaborated. Covariance of dependent and independent variables involved in the reciprocal transformations is investigated. Exact solutions of the space-time shifted nonlocal short pulse equations are given in terms of double Wronskians. Realness of independent variables involved in the reciprocal transformations is verified. Dynamics of some obtained solutions are illustrated.

关键词: reciprocal transformation, space-time shifted nonlocal short pulse equation, covariance of variable, solution

Abstract: Reciprocal transformations of the space-time shifted nonlocal short pulse equations are elaborated. Covariance of dependent and independent variables involved in the reciprocal transformations is investigated. Exact solutions of the space-time shifted nonlocal short pulse equations are given in terms of double Wronskians. Realness of independent variables involved in the reciprocal transformations is verified. Dynamics of some obtained solutions are illustrated.

Key words: reciprocal transformation, space-time shifted nonlocal short pulse equation, covariance of variable, solution

中图分类号: (Integrable systems)

02.30.Ik

02.30.Ks (Delay and functional equations) 05.45.Yv (Solitons)

Jing Wang(王静), Hua Wu(吴华), and Da-Jun Zhang(张大军). Reciprocal transformations of the space-time shifted nonlocal short pulse equations[J]. 中国物理B, 2022, 31(12): 120201-120201.

Jing Wang(王静), Hua Wu(吴华), and Da-Jun Zhang(张大军). Reciprocal transformations of the space-time shifted nonlocal short pulse equations[J]. Chin. Phys. B, 2022, 31(12): 120201-120201.

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Reciprocal transformations of the space-time shifted nonlocal short pulse equations

Reciprocal transformations of the space-time shifted nonlocal short pulse equations

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