Modified wave operators for the fourth‐order non‐linear Schrödinger‐type equation with cubic non‐linearity
- 19 May 2006
- journal article
- research article
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 29 (15), 1785-1800
- https://doi.org/10.1002/mma.751
Abstract
No abstract availableThis publication has 15 references indexed in Scilit:
- The Analysis of Linear Partial Differential Operators IPublished by Springer Science and Business Media LLC ,2003
- Geometric Optics and Long Range Scattering¶for One-Dimensional Nonlinear Schrödinger EquationsCommunications in Mathematical Physics, 2001
- Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocityJournal of Fluid Mechanics, 2000
- Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equationsAmerican Journal of Mathematics, 1998
- Long range scattering for non-linear Schrödinger and Hartree equations in space dimensionn≥2Communications in Mathematical Physics, 1993
- Long range scattering for nonlinear Schrödinger equations in one space dimensionCommunications in Mathematical Physics, 1991
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equationJournal of Mathematical Physics, 1984
- The asymptotic behavior of nonlinear Schrödinger equationsBulletin of the American Mathematical Society, 1984
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general caseJournal of Functional Analysis, 1979
- Decay and scattering of solutions of a nonlinear Schrödinger equationJournal of Functional Analysis, 1978