Periodic solutions of the modified short pulse equation

被引：0

作者：

Xue, Min ^{[1
]}

Li, Zhigang ^{[2
]}

Zhu, Yuchen ^{[3
]}

机构：

[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China

[2] Shanxi Inst Technol, Dept Fundamental Courses, Yangquan 045000, Shanxi, Peoples R China

[3] Univ San Francisco, Coll Arts & Sci, 2130 Fulton St, San Francisco, CA 94117 USA

来源：

PRAMANA-JOURNAL OF PHYSICS | 2023年 / 97卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Modified short pulse equation; reciprocal transformation; sine-Gordon equation; periodic solutions; soliton solutions; TRANSFORMATION; PROPAGATION; LONG;

D O I：

10.1007/s12043-023-02580-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

With the aid of the reciprocal transformation between the modified short pulse (mSP) equation and the sine-Gordon (sG) equation, certain periodic solutions of the mSP equation are constructed. Both one-phase and two-phase periodic solutions are presented. Taking the proper limits of those periodic solutions, various solitary wave solutions such as one-cuspon, two-cuspon and one-breather solutions are recovered. In addition, three novel standing wave solutions for the mSP equation are obtained.

引用

页数：17

共 50 条

[41] Multi-cuspon solutions of a generalized short pulse equation
Li, Nianhua
Qi, Huihui
WAVE MOTION, 2022, 112
[42] Spectral stability of elliptic solutions to the short-pulse equation
Sun, Wen-Rong
PHYSICA D-NONLINEAR PHENOMENA, 2023, 456
[43] SYMMETRY SOLUTIONS AND CONSERVED VECTORS FOR A GENERALIZED SHORT PULSE EQUATION
Khalique, Chaudry Masood
Mehmood, Anila
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2022, 48 (01): : 20 - 39
[44] A study of periodic solutions and periodic background solutions for the reverse-space-time modified nonlinear Schrodinger equation
Yang, Hui
Guo, Rui
WAVE MOTION, 2023, 117
[45] The new integrable deformations of a short pulse equation and sine-Gordon equation, and their solutions
Yao, Yuqin
Huang, Yehui
Dong, Guixiang
Zeng, Yunbo
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (06)
[46] Quasi-periodic Solutions for Two Dimensional Modified Boussinesq Equation
Shi, Yanling
Xu, Junxiang
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2021, 33 (02) : 741 - 766
[47] PERIODIC-SOLUTIONS OF THE 2ND MODIFIED KDV EQUATION
CHOW, KW
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1994, 63 (01) : 35 - 39
[48] Large-time asymptotics for periodic solutions of the modified burgers equation
Sachdev, PL
Rao, CS
Enflo, BO
STUDIES IN APPLIED MATHEMATICS, 2005, 114 (03) : 307A - 323
[49] Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation
Geng, XG
Wu, YT
Cao, CW
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (20): : 3733 - 3742
[50] Periodic and rational solutions of modified Korteweg-de Vries equation
Amdad Chowdury
Adrian Ankiewicz
Nail Akhmediev
The European Physical Journal D, 2016, 70

← 1 2 3 4 5 →