NDLI: Some discussions about variable separation of nonlinear models using Riccati equation expansion method

Content Provider	Springer Nature Link
Author	Kong, Liang Qian Dai, Chao Qing
Copyright Year	2015
Abstract	Based on the Riccati equation expansion method with radical sign combined ansatz, nine kinds of variable separation solutions with different forms of (3+1)-dimensional Burgers equation are constructed. From these different solutions constructed by the Riccati equation expansion method, we confirm that these seem independent solutions exist some relations and actually depend on each other. Moreover, we discuss the construction of localized excitation based on variable separation solutions. Results indicate that for the (3+1)-dimensional two- or multi-component system, when we construct localized coherent structures for a special component based on variable separation solutions, we must note the corresponding structures constructed by the other component for the same equation for some nonlinear models in order to avoid the appearance of some divergent and un-physical structures. We hope that these results have potential application for the deep study of exact solutions of nonlinear models in physical, engineering and biophysical areas.
Starting Page	1553
Ending Page	1561
Page Count	9
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	81
Issue Number	3
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2015-04-23
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Variable separation Riccati equation expansion method Radical sign combined ansatz (3+1)-Dimensional Burgers equations Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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