Darboux Transformation and Multisoliton Solutions of the Short Pulse Equation

Journal of the Physical Society of Japan ◽

10.1143/jpsj.81.094008 ◽

2012 ◽

Vol 81 (9) ◽

pp. 094008 ◽

Author(s):

Usman Saleem ◽

Mahmood ul Hassan

Keyword(s):

Darboux Transformation ◽

Short Pulse ◽

Short Pulse Equation ◽

Multisoliton Solutions

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Darboux transformation to the nonlocal complex short pulse equation

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107809 ◽

2021 ◽

pp. 107809

Author(s):

Jian Li ◽

Tiecheng Xia

Keyword(s):

Darboux Transformation ◽

Short Pulse ◽

Short Pulse Equation

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A generalised short pulse equation: Darboux transformation and exact solutions

Pramana ◽

10.1007/s12043-020-02006-8 ◽

2020 ◽

Vol 94 (1) ◽

Author(s):

Chendi Zhu ◽

Lihua Wu

Keyword(s):

Exact Solutions ◽

Darboux Transformation ◽

Short Pulse ◽

Short Pulse Equation

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A novel multi-component generalization of the short pulse equation and its multisoliton solutions

Journal of Mathematical Physics ◽

10.1063/1.3664904 ◽

2011 ◽

Vol 52 (12) ◽

pp. 123702 ◽

Author(s):

Yoshimasa Matsuno

Keyword(s):

Short Pulse ◽

Short Pulse Equation ◽

Multisoliton Solutions

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The determinant representation of an N-fold Darboux transformation for the short pulse equation

Journal of Nonlinear Mathematical Physics ◽

10.1080/14029251.2017.1306947 ◽

2017 ◽

Vol 24 (2) ◽

pp. 183-194 ◽

Author(s):

Shuzhi Liu ◽

Lihong Wang ◽

Wei Liu ◽

Deqin Qiu ◽

Jingsong He

Keyword(s):

Darboux Transformation ◽

Short Pulse ◽

Short Pulse Equation ◽

Determinant Representation

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Darboux Transformation for a Semidiscrete Short-Pulse Equation

Theoretical and Mathematical Physics ◽

10.1134/s0040577918030042 ◽

2018 ◽

Vol 194 (3) ◽

pp. 360-376 ◽

Author(s):

H. Wajahat ◽

A. Riaz ◽

M. Hassan

Keyword(s):

Darboux Transformation ◽

Short Pulse ◽

Short Pulse Equation

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Soliton resolution for the short-pulse equation

Journal of Differential Equations ◽

10.1016/j.jde.2021.01.036 ◽

2021 ◽

Vol 280 ◽

pp. 644-689

Author(s):

Yiling Yang ◽

Engui Fan

Keyword(s):

Short Pulse ◽

Short Pulse Equation

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Lie symmetry analysis for complex soliton solutions of coupled complex short pulse equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7105 ◽

2021 ◽

Author(s):

Vikas Kumar ◽

Abdul‐Majid Wazwaz

Keyword(s):

Short Pulse ◽

Soliton Solutions ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Lie Symmetry Analysis ◽

Short Pulse Equation

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Initial value problem and soliton solutions of the single-cycle short pulse equation via the Riemann-Hilbert approach

Journal of Physics Communications ◽

10.1088/2399-6528/aaeaf5 ◽

2018 ◽

Vol 2 (11) ◽

pp. 115004

Author(s):

Ge-Qiang Bo ◽

Wei-Guo Zhang

Keyword(s):

Initial Value Problem ◽

Short Pulse ◽

Soliton Solutions ◽

Single Cycle ◽

Initial Value ◽

Short Pulse Equation

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Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2016.03.012 ◽

2016 ◽

Vol 327 ◽

pp. 13-29 ◽

Author(s):

Liming Ling ◽

Bao-Feng Feng ◽

Zuonong Zhu

Keyword(s):

Short Pulse ◽

Higher Order ◽

Short Pulse Equation ◽

Wave Solutions ◽

Rogue Wave Solutions

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Long-time asymptotic behavior for the complex short pulse equation

Journal of Differential Equations ◽

10.1016/j.jde.2020.07.009 ◽

2020 ◽

Vol 269 (11) ◽

pp. 10322-10349

Author(s):

Jian Xu ◽

Engui Fan

Keyword(s):

Asymptotic Behavior ◽

Short Pulse ◽

Short Pulse Equation ◽

Long Time ◽

Time Asymptotic Behavior

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