Title
Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation.
Abstract
A variable-coefficient forced Korteweg–de Vries equation with spacial inhomogeneity is investigated in this paper. Under constraints, this equation is transformed into its bilinear form, and multi-soliton solutions are derived. Effects of spacial inhomogeneity for soliton velocity, width and background are discussed. Nonlinear tunneling for this equation is presented, where the soliton amplitude can be amplified or compressed. Our results might be useful for the relevant problems in fluids and plasmas.
Year
DOI
Venue
2018
10.1016/j.aml.2017.05.015
Applied Mathematics Letters
Keywords
Field
DocType
Variable-coefficient forced KdV equation,Nonlinear tunneling,Spacial inhomogeneity,Bilinear method
Quantum tunnelling,Soliton,Mathematical optimization,Bilinear form,Nonlinear system,Mathematical analysis,Plasma,Korteweg–de Vries equation,Amplitude,Mathematics
Journal
Volume
ISSN
Citations 
75
0893-9659
1
PageRank 
References 
Authors
0.37
1
4
Name
Order
Citations
PageRank
Xin Yu121228.98
Zhi-Yuan Sun283.01
Kai-Wen Zhou310.37
Yu-Jia Shen493.12