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Meanwhile, under the constraint conditions, two transformations from such an equation either to the constant-coefficient Gardner or modified Korteweg–de Vries (m Kd V) equation are proposed.

Via the two transformations, the investigations on the variable-coefficient Gardner equation can be based on the constant-coefficient ones.

In the process of parameters identification in the linear fitting, replace the Euclidean distance by the module and angle of vector as the optimal object.

This algorithm overcomes the disadvantages of chaotic local prediction algorithm based on the Euclidean distance, and has obtained good effect in power load forecasting which is sensitive to the climate.

In this paper, a generalized variable-coefficient Gardner equation arising in nonlinear lattice, plasma physics and ocean dynamics is investigated.

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