Exact traveling wave solutions to the nonlinear Schr枚dinger equation

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• 作者：Saï ; dou Abdoulkary^a ; ^c ; ^{elsaidais@yahoo.fr" class="auth_mail} ; Alidou Mohamadou^d ; ^{mohdoufr@yahoo.fr" class="auth_mail} ; Tibi Beda^e ; ^f ; ^{tbeda@yahoo.com" class="auth_mail} ; Betchewe Gambo^a ; ^b ; ^{gambobetch@yahoo.fr" class="auth_mail} ; Serge Y. Doka^a ; ^{numami@gmail.com" class="auth_mail} ; Alim^a ; ^{alimdia@yahoo.fr" class="auth_mail} ; Aboubakar Mahamoudou^a ; ^{aboumahamoudou@yahoo.fr" class="auth_mail}
• 关键词：Auxiliary equation method ; Exact traveling wave solutions ; Nonlinear Schrö ; dinger equation
• 刊名：Applied Mathematics and Computation
• 出版年：1 May 2014
• 年：2014
• 卷：233
• 期：Complete
• 页码：109-115
• 全文大小：745 K

文摘

In this paper, through auxiliary equation method we investigate exact traveling wave solutions of the nonlinear Schrödinger equation. As results, we obtain miscellaneous traveling wave solutions including, bright and dark solitons, periodic solutions, singular solutions and exponential solutions. This method could be used in further works to establish more entirely new solutions for other kinds of nonlinear evolution equations arising in physics.