paper

On integrability of the differential constraints arising from the singularity analysis

arXiv:nlin/0004037 · doi:10.2991/jnmp.2002.9.1.3

Abstract

Integrability of the differential constraints arising from the singularity analysis of two (1+1)-dimensional second-order evolution equations is studied. Two nonlinear ordinary differential equations are obtained in this way, which are integrable by quadratures in spite of very complicated branching of their solutions.

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