Journal of Non-linear Mathematical Physics

ISSN: 1402-9251
Volume 15, Issue 4, December 2008 (Note that the following volumes can be found at:
A Ramani, B. Grammaticos, R. Willox
Pages: 353 - 364
We show that the solutions of ultradiscrete Painleve equations satisfy contiguity relations just as their continuous and discrete counterparts. Our starting point are the relations for q-discrete Painleve equations which we then proceed to ultradiscretise. In this paper we obtain results for the one-parameter...
Zhiyong Zhang, Xuelin Yong, Yufu Chen
Pages: 383 - 397
We investigate a further group analysis of Whitham-Broer-Kaup(for short WBK) equations. An optimal system of one-dimensional subalgebras is derived and used to construct reduced equations and similarity solutions. Moreover, a special case of WBK equations is linearized and some new solutions are obtained....
Francesco Calogero, David Gomez-Ullate
Pages: 410 - 426
Mechanisms are elucidated underlying the existence of dynamical systems whose generic solutions approach asymptotically (at large time) isochronous evolutions: all their dependent variables tend asymptotically to functions periodic with the same fixed period. We focus on two such mechanisms, emphasizing...