Partially integrable nonlinear equations with one higher symmetry

Details Partially integrable nonlinear equations with one higher symmetry Partially integrable nonlinear equations with one higher symmetry

2006-01-22

arxiv.org/abs/nlin/0601047v1

J. Phys A: Math.Gen., 38 (2005), L337 - L341

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

In this paper we present a family of second order in time nonlinear partial
differential equations, which have only one higher symmetry. These equations
are not integrable, but have a solution depending on one arbitrary function.

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