3 papers
nlin.SI2026
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 bil…
nlin.SI2026
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…
nlin.SI2025
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…