New (3 \(\varvec{+}\) 1)-dimensional equations of Burgers type and Sharma–Tasso–Olver type: multiple-soliton solutions

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• 作者：Abdul-Majid Wazwaz ; S. A. El-Tantawy
• 关键词：Burgers equation ; Sharma–Tasso–Olver equation ; Dispersion relation ; Multiple ; soliton solutions
• 刊名：Nonlinear Dynamics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：87
• 期：4
• 页码：2457-2461
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering;
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：87

文摘

We construct new (\(3+1\))-dimensional Burgers and Sharma–Tasso–Olver-type equations. We determine the dispersion relation for each of the newly derived models. By using the simplified Hirota’s method, we derive multiple-soliton solutions for each equation. We derive a generalized dispersion relation that works for both equations.