Classification of integrable polynomial vector evolution equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

10.1088/0305-4470/34/49/327

Several classes of systems of evolution equations with one or two vector
unknowns are considered. We investigate also systems with one vector and one
scalar unknown. For these classes all equations having the simplest higher
symmetry are listed.

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