Communications in Mathematical Sciences

New exact solutions for the cubic-quintic nonlinear Schrödinger equation

On the existence and compactness of a two-dimensional resonant system of conservation laws

On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. Part II

A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations

Eigenvalues of an alignment matrix in nonlinear manifold learning

A hierarchy of models for turbulent dispersed two-phase flows derived from a kinetic equation for the joint particle-gas pdf

Mass and energy balance laws derived from High-Field limits of thermostatted Boltzmann equations

An efficient modulo $p$ multiplication algorithm with moderate factors of $p+1$ and $p-1$

Well-posedness of 3D vortex sheets with surface tension

Self-induced stochastic resonance for Brownian ratchets under load

Physical and numerical viscosity for quantum hydrodynamics

Moderate dispersion in conservation laws with convex fluxes

The numerical spectrum of a one-dimensional Schrödinger operator with two competing periodic potentials

ON HMM-like integrators and projective integration methods for systems with multiple time scales