Novel Liouville integrable Hamiltonian models with six components and three signs

The τ‐symmetries and Lie algebra structure of the Blaszak–Marciniak lattice equation

“…Currently, there are also various types of studies on generalized nonlocal coupled nonlinear Schrödinger type equations [26–28] as well as multicomponent local integrable modified Korteweg‐de Vries and nonlinear Schrödinger type equations [29, 30] and more generally, both focusing and defocusing examples in earlier studies [31–33]. It should be particularly interesting to explore similar $$$ \tau $$$‐symmetry structures for those local and nonlocal nonlinear multicomponent integrable modified Korteweg‐de Vries and nonlinear Schrödinger type models.…”

Stochastic Perturbation of Optical Solitons for the Concatenation Model with Power-Law of Self-Phase Modulation Having Multiplicative White Noise

“…The solution to Eq. ( 1) is obtained by following the solution structure presented in references [46][47][48][49][50][51][52][53]:…”

A combined Liouville integrable hierarchy associated with a fourth-order matrix spectral problem

“…These provide two typical coupled integrable models, which extend the category of coupled integrable models of nonlinear Schrödinger equations and modified Korteweg-de Vries equations presented recently (see, e.g. [24,[29][30][31]). One interesting character is that every equation contains two derivative terms of the highest order, and so, we call them combined models.…”