Paper Info
Title
On the double-pole and two-soliton solutions of the Harry Dym equation.
Abstract
The double-pole solution of the initial value problem for the Harry Dym equation (HDE) was obtained by using the inverse scattering transform (IST) method, i.e., solving the associated Gelfand–Levitan–Marchenko (GLM) equation. Further, we show that the double-pole solution can be viewed as some proper limits of the two-soliton solution obtained by Riemann–Hilbert problem (RHP) and IST method, respectively.
Year
DOI
Venue
2020
10.1016/j.aml.2020.106276
Applied Mathematics Letters
Keywords
Field
DocType
Harry Dym equation,Double pole solution,Two soliton solutions,Gelfand–Levitan–Marchenko integral equation,Riemann–Hilbert problem
Soliton,Inverse scattering transform,Dym equation,Mathematical analysis,Initial value problem,Mathematics
Journal
Volume
ISSN
Citations 
104
0893-9659
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Hongyu Li100.34
Jian Xu222455.55