7 citations · 13 across the 3 of their papers we have counts for
4 papers
The Riemann theta function near soliton limit
Yuji Kodama
It has been known that (the square of) Jacobi elliptic function can be expressed by an infinite sum of single solitons of $\sech^2$ shape. In this paper, we show that there exists…
KP solitons and the Schottky uniformization
Takashi Ichikawa, Yuji Kodama
Real and regular soliton solutions of the KP hierarchy have been classified in terms of the totally nonnegative (TNN) Grassmannians. These solitons are referred to as KP solitons,…
Soliton solutions of the KP equation and application to shallow water waves
Sarvarish Chakravarty, Yuji Kodama
The main purpose of this paper is to give a survey of recent development on a classification of soliton solutions of the KP equation. The paper is self-contained, and we give a com…
Integrable Deformations of Algebraic Curves
Y. Kodama, B. Konopelchenko, L. Martinez Alonso
A general scheme for determining and studying integrable deformations of algebraic curves, based on the use of Lenard relations, is presented. We emphasize the use of several types…