the National Natural Science Foundation of China(Grant Nos.12061051 and 11965014)。
The(2+1)-dimensional elliptic Toda equation is a high-dimensional generalization of the Toda lattice and a semidiscrete Kadomtsev–Petviashvili I equation.This paper focuses on investigating the resonant interactions ...
supported by the National Natural Science Foundation of China(No.11971114);the Key Laboratory of Mathematics for Nonlinear Sciences of Ministry of Education of China。
The Darboux transformation for the two dimensional A_(2n-1)^((2))Toda equations is constructed so that it preserves all the symmetries of the corresponding Lax pair.The expression of exact solutions of the equation is...
Choledochal cysts(CCs),first described by Vater and Ezler in 1723,are rare congenital cystic dilations of biliary tract[1].The most widely adopted classification system from Todani et al.divides CCs into five major ty...
In this paper, a new integrable variable coefficient Toda equation is proposed by utilizing a generalized version of the dressing method. At the same time, we derive the Lax pair of the new integrable variable coeffic...
For a discontinuous Toda medium,a differential-difference equation(DDE)can be established.A modification of the exp-function method is applied to construct some soliton-like and period-like solutions for nonlinear DDE...