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 …

There is growing physical and mathematical interest in the hydrodynamics of
dissipationless/dispersive media. Since GB Whitham's seminal publication fifty years ago …

In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

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

This book is a survey of asymptotic methods set in the current applied research context of
wave propagation. It stresses rigorous analysis in addition to formal manipulations …

The paper presents nonlocal reverse-spacetime PT-symmetric multicomponent nonlinear
Schrödinger (NLS) equations under a specific nonlocal group reduction, and generates their …

We report experimental confirmation of the universal emergence of the Peregrine soliton
predicted to occur during pulse propagation in the semiclassical limit of the focusing …

We study the Cauchy problem for the focusing nonlinear Schrödinger (fNLS) equation.
Using the∂‾ generalization of the nonlinear steepest descent method we compute the long …

We consider polynomials that are orthogonal on [− 1, 1] with respect to a modified Jacobi
weight (1− x) α (1+ x) βh (x), with α, β>− 1 and h real analytic and strictly positive on [− 1, 1] …

We characterize the nonlinear stage of modulational instability (MI) by studying the longtime
asymptotics of the focusing nonlinear Schrödinger (NLS) equation on the infinite line with …