In this paper, the modified KP hierarchy in the Kupershmidt–Kiso version is investigated
starting from the tau functions. There are two tau functions for the modified KP hierarchy. We …

Based on Darboux transformations for the supersymmetric constrained KP (ScKP) hierarchy,
we construct the supersymmetric constrained B type KP (ScBKP) and supersymmetric …

We derive the bilinear equations of the constrained BKP hierarchy from the calculus of
pseudodifferential operators. The full hierarchy equations can be expressed in Hirota's …

Bilinear equation is an important property for integrable nonlinear evolution equation. Many
famous research objects in mathematical physics, such as Gromov–Witten invariants, can be …

We establish the binary nonlinearization approach of the spectral problem of the super
AKNS system, and then use it to obtain the super finite-dimensional integrable Hamiltonian …

In this paper, free bosons are used to study some integrable properties of Kadomtsev-
Petviashvili (KP) hierarchy of C type (CKP hierarchy), from the aspects of tau functions. First …

A bstract It is shown that the relativistic invariance plays a key role in the study of integrable
systems. Using the relativistically invariant sine-Gordon equation, the Tzitzeica equation, the …

In this paper, with the help of the S function and ghost symmetry for the discrete KP hierarchy
which is a semi-discrete version of the KP hierarchy, the ghost flow on its eigenfunction …

In this paper we deal with explicit classes of solutions for the nonautonomous discrete KP n-
dKP equation,„bm cn… l, m 1, n 1 l 1, m, n„cn al… l 1, m, n 1 l, m 1, n „al bm… l 1, m 1, nl, m …

This paper studies Manin–Radul supersymmetric Kadomtsev–Petviashvili hierarchy (MR-
SKP) in three related aspects:(i) We find an infinite set of additional (“ghost”) symmetry flows …