57 citations · 80 across the 4 of their papers we have counts for
4 papers
Lax pairs, Painlevé properties and exact solutions of the alogero Korteweg-de Vries equation and a new (2+1)-dimensional equation
Song-Ju Yu, Kouichi Toda
We prove the existence of a Lax pair for the Calogero Korteweg-de Vries (CKdV) equation. Moreover, we modify the T operator in the the Lax pair of the CKdV equation, in the search…
N-Soliton Solutions to a New (2 + 1) Dimensional Integrable Equation
S. J. Yu, K. Toda, T. Fukuyama
We give explicitly N-soliton solutions of a new (2 + 1) dimensional equation, . This equation is ob…
The Painlevé Test of Higher Dimensional KdV Equation
Yu. Song-Ju, T. Fukuyama
We argue the integrability of the generalized KdV(GKdV) equation using the Painlevé test. For dimensional space, GKdV equation passes the Painlevé test but does not for…
Toda Lattice and Tomimatsu-Sato Solutions
Takeshi FUKUYAMA, Kiyoshi Kamimura, Songju YU
We discuss an analytic proof of a conjecture (Nakamura) that solutions of Toda molecule equation give those of Ernst equation giving Tomimatsu-Sato solutions of Einstein equation.…