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- Title
DARBOUX TRANSFORMATION AND VARIOUS SOLUTIONS FOR A NONLINEAR EVOLUTION EQUATION IN (3 + 1)-DIMENSIONS.
- Authors
ZHAQILAO; LI, ZHI-BIN
- Abstract
A new (3 + 1)-dimensional nonlinear evolution equation can be decomposed into three (1 + 1)-dimensional nonlinear evolution equations. In this paper, N-soliton solution, resonant solution and complexiton solution of the (3 + 1)-dimensional nonlinear evolution equation are obtained via an N-fold Darboux transformation of the Ablowitz–Kaup–Newell–Segur spectral problems.
- Subjects
NONLINEAR differential equations; MATHEMATICAL transformations; NONLINEAR theories; PHYSICS; MATHEMATICAL models
- Publication
Modern Physics Letters B, 2008, Vol 22, Issue 30, p2945
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984908017515