Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-28
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The homogeneous balance of undetermined coefficient method is firstly proposed to derive a more general bilinear equation of the nonlinear partial differential equation (NLPDE).
By applying perturbation method, subsidiary ordinary differential equation (sub-ODE) method, and compatible condition to bilinear equation, more exact solutions of NLPDE are obtained.
The KdV equation, Burgers equation, Boussinesq equation, and Sawada-Kotera equation are chosen to illustrate the validity of our method.
We find that the underlying relation among the G′/G-expansion method, Hirota’s method, and HB method is a bilinear equation.
The proposed method is also a standard and computable method, which can be generalized to deal with other types of NLPDE.
American Psychological Association (APA)
Yang, Xiao-Feng& Wei, Yi. 2020. Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1185447
Modern Language Association (MLA)
Yang, Xiao-Feng& Wei, Yi. Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application. Journal of Function Spaces No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1185447
American Medical Association (AMA)
Yang, Xiao-Feng& Wei, Yi. Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1185447
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185447