11 citations · 14 across the 3 of their papers we have counts for
3 papers
math-ph2008★ 11 cited
Dynamics of Nonlinear Schrodinger / Gross-Pitaevskii Equations; Mass Transfer in Systems with Solitons and Degenerate Neutral Modes
Zhou Gang, Michael Weinstein
Nonlinear Schrodinger / Gross-Pitaevskii equations play a central role in the understanding of nonlinear optical and macroscopic quantum systems. The large time dynamics of such sy…
nlin.PS2008★ 2 cited
On a Hamiltonian PDE arising in Magma Dynamics
Gideon Simpson, Michael I. Weinstein, Philip Rosenau
In this article we discuss a new Hamiltonian PDE arising from a class of equations appearing in the study of magma, partially molten rock, in the Earth's interior. Under physically…
nlin.PS2008★ 1 cited
Asymptotic Stability of Ascending Solitary Magma Waves
Gideon Simpson, Michael I. Weinstein
Coherent structures, such as solitary waves, appear in many physical problems, including fluid mechanics, optics, quantum physics, and plasma physics. A less studied setting is fou…