145 citations · 344 across the 9 of their papers we have counts for
9 papers
Numerical calculation of N-periodic wave solutions to coupled KdV-type equations
Yingnan Zhang, Xingbiao Hu, Jianqing Sun
In this paper, we study periodic wave solutions of coupled KdV-type equations. We present a numerical process to calculate the -periodic waves based on the direct method of calc…
About several classes of bi-orthogonal polynomials and discrete integrable systems
Xiangke Chang, Xiaomin Chen, Xingbiao Hu +1
By introducing some special bi-orthogonal polynomials, we derive the so-called discrete hungry quotient-difference (dhQD) algorithm and a system related to the QD-type discrete hun…
A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions
Xiangke Chang, Xiaomin Chen, Xingbiao Hu
Motivated by the paper (Beals, Sattinger and Szmigielski, Adv. Math. 154 (2000) 229--257), we propose an extension of the Camassa-Holm equation, which also admits the multipeakon s…
Integrable Discretization of Soliton Equations via Bilinear Method and Bäcklund Transformation
Yingnan Zhang, Xiangke Chang, Juan Hu +2
In this paper, we present a systematic procedure to derive discrete analogues of integrable PDEs via Hirota's bilinear method. This approach is mainly based on the compatibility be…
Effect on Cavity Optomechanics of the Interaction Between a Cavity Field and a 1D Interacting Bosonic Gas
Qing Sun, Xing-Hua Hu, W. M. Liu +2
Revised entirely and a new figure added.
Hirota method for the nonlinear Schrődinger equation with an arbitrary linear time-dependent potential
Zai-Dong Li, Qiu-Yan Li, Xing-Hua Hu +2
In this paper, a Hirota method is developed for applying to the nonlinear Schrödinger equation with arbitrary time-dependent linear potential which denotes the dynamics of soliton…