Symmetry reduction related with nonlocal symmetry for Gardner equation
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文摘

The nonlocal symmetry for the Gardner equation is derived by the truncated Painlevé analysis or the Möbious (conformal) invariant form.

To solve the initial value problem related with the nonlocal symmetry, the original Gardner equation is prolonged the enlarged systems.

Many explicit interaction solutions among different types of solutions are given by using the symmetry reduction method to the enlarged systems.

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