On a nonlocal modified Korteweg-de Vries equation: Integrability, Darboux transformation and soliton solutions
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- 作者：Jia-Liang Ji znzhu@sjtu.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Zuo-Nong Zhu
- 关键词：Nonlocal modified Korteweg-de Vries equation ; Integrability ; Darboux transformation ; Soliton solutions
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：42
- 期：Complete
- 页码：699-708
- 全文大小：1329 K
文摘
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An integrable nonlocal modified Korteweg-de Vries equation (mKdV) is proposed.
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Darboux transformation for the nonlocal mKdV equation is constructed.
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Exact solutions for the nonlocal mKdV equation including soliton, kink, antikink, complexiton, and rogue-wave are given.
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It is demonstrated that these solutions possess new properties which are different from the ones for mKdV equation.