Analytical solutions for nonlinear long-short wave interaction systems with highly complex structure

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• 作者：Haci Mehmet Baskonus^a ; ^{hmbaskonus@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Hasan Bulut^b ; ^{hbulut@firat.edu.tr" class="auth_mail" title="E-mail the corresponding author} ; Fethi Bin Muhammad Belgacem^c ; ^{fbmbelgacem@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Complex hyperbolic solution ; Dark soliton solution ; Hyperbolic function solution ; Long&ndash ; short-wave interaction system ; Modified exp(&minus ; Ω(ξ))(&minus ; Ω(ξ))-expansion method
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：312
• 期：Complete
• 页码：257-266
• 全文大小：1577 K

文摘

In this paper, we investigate and use the new modified exp(−Ω(ξ))$(-\Omega \left(\xi \right))$-expansion method, (MEM). We apply the new MEM to nonlinear long–short-wave interaction systems (NLSWIS). Among our findings are sets of solutions including, but not limited to, new hyperbolic, complex, and dark soliton solutions. Not only is MEM shown to be highly adaptable for partial differential equations with strong nonlinearities, but also, it turns out to be highly efficient, despite its ease.