Multiple-soliton solutions for extended -dimensional Jimbo-Miwa equations

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• 作者：Abdul-Majid Wazwaz ^{wazwaz@sxu.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Jimbo&ndash ; Miwa equation ; Hirota&rsquo ; s method ; Multiple soliton solutions
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：64
• 期：Complete
• 页码：21-26
• 全文大小：489 K

文摘

In this work we investigate two extended ext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0893965916302403&_mathId=si1.gif&_user=111111111&_pii=S0893965916302403&_rdoc=1&_issn=08939659&md5=9a2ed3b24375b47521778fd1191727f0" title="Click to view the MathML source">(3+1)er hidden">e">-dimensional Jimbo–Miwa equations. We use the simplified Hirota’s method to derive multiple soliton solutions of distinct physical structures for each extended equation. We show that the dispersion relations and the phase shifts of the extended equations are distinct compared to the dispersion and shifts of the Jimbo–Miwa equation.