Painlevé-integrability of a (2+1)-dimensional reaction-diffusion equation: exact solutions and their interactions.

@article{Victor2009PainlevintegrabilityOA,
  title={Painlev{\'e}-integrability of a (2+1)-dimensional reaction-diffusion equation: exact solutions and their interactions.},
  author={Kuetche Kamgang Victor and Bouetou Bouetou Thomas and Timol{\'e}on Cr{\'e}pin Kofan{\'e}},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2009},
  volume={79 5 Pt 2},
  pages={056605}
}
We investigate the singularity structure analysis of a (2+1)-dimensional coupled nonlinear extension of the reaction-diffusion (NLERD) equation by means of the Painlevé (P) test. Following the Weiss et al.'s formalism [J. Math. Phys. 24, 522 (1983)], we prove the arbitrariness of the expansion coefficients of the observables. Thus, without the use of the… CONTINUE READING