Peakons (peaked solitons) are particular solutions admitted by certain nonlinear PDEs, most
famously the Camassa–Holm shallow water wave equation. These solutions take the form of …

In this paper, we study the soliton resolution and large time behavior of solutions to the
Cauchy problem for the Novikov equation with a nonzero background ut− utx x+ 4 ux= 3 …

In this paper, we mainly investigate Lax structure and tau function for the large BKP
hierarchy, which is also known as Toda hierarchy of B type. Firstly, the large BKP hierarchy …

Skew-orthogonal polynomials (SOPs) arise in the study of the n-point distribution function for
orthogonal and symplectic random matrix ensembles. Motivated by the average of …

Abstract The Camassa–Holm hierarchy can be regarded as isospectral flows of the
inhomogeneous string. This paper is devoted to the exploration of the second flow in the …

In this work, we propose a new approach called``stationary reduction method based on
nonisospectral deformation of orthogonal polynomials" for deriving discrete Painlev\'{e}-type …

In this paper, we propose a finite Toda lattice of CKP type (C-Toda) together with a Lax pair.
Our motivation is based on the fact that the Camassa–Holm (CH) peakon dynamical system …

Motivated by the Novikov equation and its peakon problem, we propose a new mixed type
Hermite–Padé approximation whose unique solution is a sequence of polynomials …

We are exploring variations of the Novikov equation that have weak solutions called
peakons. Our focus is on a two-component Novikov equation with a non-self-adjoint …

This paper is concerned about certain generalization of Laurent biorthogonal polynomials
together with the corresponding related integrable lattices. On one hand, a generalization for …