4 papers
Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schrödinger type and Benjamin-Ono type
Jin Liu, Da-jun Zhang, Xin Zhang +1
This is a continuation of the paper [Commun. Theor. Phys., 77 (2025) 115006] on the nonlinearization of bilinear equations. The sine-Gordon type and nonlinear Schrödinger type bili…
Constraints of the DKP hierarchy to the semi-discrete AKNS and Burgers hierarchies
Jin Liu, Da-jun Zhang
The paper investigates three eigenfunction constraints of two (2+1)-dimensional differential-difference integrable systems. First, we revisit the known squared eigenfunction symmet…
Nonlinearization of the KdV-type and mKdV-type bilinear equations
Xin Zhang, Jin Liu, Da-jun Zhang
In this paper, we show a general procedure to nonlinearize bilinear equations by using the Bell polynomials. As applications, we obtain nonlinear forms of some integrable bilinear…
Symmetries of the DmKP hierarchy and their continuum limits
Jin Liu, Da-jun Zhang, Xuehui Zhao
In the recent paper [Stud. App. Math. 147 (2021) 752], squared eigenfunction symmetry constraint of the differential-difference modified Kadomtsev-Petviashvili (DmKP) hierarchy…