On integrability of a (2+1)-dimensional perturbed Kdv equation

Details On integrability of a (2+1)-dimensional perturbed Kdv equation On integrability of a (2+1)-dimensional perturbed Kdv equation

1998-05-22

arxiv.org/abs/solv-int/9805012v2

J. Nonlinear Math. Phys. 5 (1998) 230-233

Physics

Mathematical Physics

Scientific paper

10.2991/jnmp.1998.5.3.1

A (2+1)-dimensional perturbed KdV equation, recently introduced by W.X. Ma
and B. Fuchssteiner, is proven to pass the Painlev\'e test for integrability
well, and its 4$\times $4 Lax pair with two spectral parameters is found. The
results show that the Painlev\'e classification of coupled KdV equations by A.
Karasu should be revised.

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