Extension of inverse scattering method to nonlinear evolution equation in nonuniform medium

1981 ◽  
Vol 22 (10) ◽  
pp. 2180-2183 ◽  
Author(s):  
M. R. Gupta ◽  
Jayanti Ray
Keyword(s):  
Evolution Equation ◽  
Inverse Scattering ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
Nonuniform Medium

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.

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