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The homogeneous balance of undetermined coefficients method and its application

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Wei Y., He X.-D., Yang X.-F.

Open Mathematics

2016

tom 14

nr 1

816-826

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.

Ograniczanie wyników

1 Open Mathematics

1 He X.-D.

1 Wei Y.

1 Yang X.-F.

1 2016

Wyniki wyszukiwania

The homogeneous balance of undetermined coefficients method and its application