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Symmetry classification of the Gardner equation with time-dependent coefficients arising in stratified fluids. (English) Zbl 1245.35110
Summary: We perform symmetry classification of a variable-coefficient combined KdV-mKdV equation. That is, the equation combining the Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations, or also known as the Gardner equation. The direct method of group classification is utilized to specify the forms of these time-dependent coefficients.

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
35B06 Symmetries, invariants, etc. in context of PDEs
35Q35 PDEs in connection with fluid mechanics
Software:
YaLie
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References:
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