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

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 relatio...

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Bibliographic Details
Published in:Nonlinear dynamics 2017-03, Vol.87 (4), p.2457-2461
Main Authors: Wazwaz, Abdul-Majid, El-Tantawy, S. A.
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Dispersion
Dynamical Systems
Electrons
Engineering
Mechanical Engineering
Original Paper
Solitary waves
Vibration
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Summary: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-016-3203-5