Similarity Reduction of The Variablecoefficient mKdV Equation
Asian Journal of Mathematics and Computer Research, Volume 30, Issue 3,
Page 3950
DOI:
10.56557/ajomcor/2023/v30i38361
Abstract
We use the CK direct method to study a class of variablecoefficient mKdV equations, which deviate the variable coefficient differential equations are converted to ordinary differential equations. As far as we know, no researchers have used this method to study the variablecoefficient mKdV equation in the current literature. The classical Lie group method is only suitable for special forms of g(t) , h(t) , but the CK direct method we use is not only suitable for special forms, but also for general Variablecoefficient mKdV equations. Further, in order to compare whether the reduction results obtained using the two methods are consistent, we use the classical Lie group method and the CK direct method to study the variablecoefficient mKdV equation for a particular g(t) , h(t) . Finally, the results are consistent, which also confirms the correctness of CK direct method.
 The mKdV equation
 similarity reduction
 CK direct method
 classical Lie group method
How to Cite
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