Spatially confined rigid membranes reorganize their morphology in response to imposed
constraints. Slight compression of a rigid membrane resting on a soft foundation creates a …

Two simultaneous nonlocal group constraints of the Ablowitz-Kaup-Newell-Segur matrix
eigenvalue problems are discussed, of which one constraint changes the eigenvalue …

We present mixed-type reduced soliton hierarchies of nonlocal integrable nonlinear
Schrödinger equations of arbitrary even order by conducting two nonlocal group reductions …

We would like to propose a kind of nonlocal real reverse-spacetime integrable hierarchies of
PT-symmetric matrix AKNS equations through nonlocal symmetry reductions on the potential …

The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type (−
λ, λ) by imposing two nonlocal matrix restrictions of the AKNS matrix characteristic-value …

We conduct two nonlocal group reductions of the AKNS matrix spectral problems to
generate a class of nonlocal reverse-spacetime integrable mKdV equations. One reduction …

A 3× 3 matrix spectral problem is introduced and its associated AKNS integrable hierarchy
with four components is generated. From this spectral problem, a kind of Riemann–Hilbert …

The paper aims at establishing Riemann-Hilbert problems and presenting soliton solutions
for nonlocal reverse-time nonlinear Schrödinger (NLS) hierarchies associated with higher …

The paper aims to present the inverse scattering transforms and soliton solutions for
nonlocal reverse-time nonlinear Schrödinger equations. The inverse scattering problems …

We continue a recently developed systematic approach to the Bousinesq (Bsq) hierarchy
and its algebro-geometric solutions. Our formalism includes a recursive construction of Lax …