new similarity solutions of a generalized variable-coefficient gardner equation with forcing term
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ID: 187611
2018
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Abstract
The compatibility method is used for a generalized variable-coefficient Gardner equation (GVGE) with a forcing term. By the compatibility of the considered equation and a non-classical symmetry of a given form, four types of symmetry are obtained. Then, by solving the characteristic equations of symmetry, the GVGE is reduced to variable coefficients ordinary differential equations, and rich varieties of new similarity solutions are presented. Our results show that the compatibility method can be employed for variable coefficients nonlinear evolution equations with forcing terms.
| Reference Key |
zhou2018symmetrynew
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|---|---|
| Authors | ;Jianping Zhou;Yuan Wang;Yang Wang;Zhilian Yan;Zhen Wang |
| Journal | journal of hospitality and tourism management |
| Year | 2018 |
| DOI |
10.3390/sym10040112
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| URL | |
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