The singular solutions of a nonlinear evolution equation taking continuous part of the spectral data into account in inverse scattering method

2012 ◽  
Vol 45 (6) ◽  
pp. 846-852 ◽  
Author(s):  
V.O. Vakhnenko ◽  
E.J. Parkes
Keyword(s):  
Evolution Equation ◽  
Spectral Data ◽  
Inverse Scattering ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Inverse Scattering Method ◽  
Singular Solutions ◽  
Scattering Method ◽  
Continuous Part

Singular solutions of the KdV equation and the inverse scattering method

1985 ◽  
Vol 31 (6) ◽  
pp. 3264-3279 ◽  
Author(s):  
V. A. Arkad'ev ◽  
A. K. Pogrebkov ◽  
M. K. Polivanov
Keyword(s):  
Inverse Scattering ◽  
Kdv Equation ◽  
Inverse Scattering Method ◽  
Singular Solutions ◽  
Scattering Method ◽  
The Kdv Equation

On Nonlinear Equations Amenable to the Inverse Scattering Method

1975 ◽  
Vol 53 (1) ◽  
pp. 58-61 ◽  
Author(s):  
J. G. Kingston ◽  
C. Rogers
Keyword(s):  
Inverse Scattering ◽  
Initial Value Problem ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Inverse Scattering Method ◽  
Nonlinear Evolution Equations ◽  
Scattering Method ◽  
Initial Value ◽  
Physical Importance ◽  
Extensive Class

The inverse scattering method can be used to solve the initial value problem for various nonlinear evolution equations of physical importance. Here an extensive class of equations for which the technique is available is delimited.

Sign in / Sign up

Export Citation Format

Share Document