The homogeneous balance of undetermined coefficients method and its application

• Autorzy: Yi Wei , Xin-Dang He , Xiao-Feng Yang
• Języki publikacji: EN

Abstrakty

EN

The homogeneous balance of undetermined coefficients method is firstly proposed to solve such nonlinear partial differential equations (PDEs), the balance numbers of which are not positive integers. The proposed method can also be used to derive more general bilinear equation of nonlinear PDEs. The Eckhaus equation, the KdV equation and the generalized Boussinesq equation are chosen to illustrate the validity of our method. The proposed method is also a standard and computable method, which can be generalized to deal with some types of nonlinear PDEs.

Słowa kluczowe

EN

Homogeneous balance of undetermined coefficients method; Bilinear equation; Eckhaus equation; KdV equation; Generalized Boussinesq equation

Kategorie tematyczne

• 35Q55: NLS-like equations (nonlinear Schr\"odinger)
• 35G25: Initial value problems for nonlinear higher-order equations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 816-826

Daty

wydano

2016-01-01

otrzymano

2014-11-26

zaakceptowano

2016-01-27

online

2016-10-29

Twórcy

autor

Yi Wei

• Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, 710072, Shaanxi,

autor

Xin-Dang He

• School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an, 710072, Shaanxi,

autor

Xiao-Feng Yang

• College of Science, Northwest A&F University, Yangling 712100, Shaanxi,

Identyfikatory

DOI

10.1515/math-2016-0078