Ward's solitons.
Weak asymptotic method for the study of propagation and interaction of infinitely narrow -solitons.
Weakly nonlocal Hamiltonian structures: Lie derivative and compatibility.
Weierstrass elliptic solutions to a Zakharov equation in plasmas with power law nonlinearity
In this paper, travelling wave solutions for the Zakharov equation in plasmas with power law nonlinearity are studied by using the Weierstrass elliptic function method. As a result, some previously known solutions are recovered, and at the same time some new ones are also given.
Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain
We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show these systems are well-posed in the sense of Weiss and Salamon if and only if the state operator generates a C0-semigroup. Furthermore, we show that the corresponding transfer function is regular, i.e., has a limit for s going to infinity.
WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity