Asymptotics of solutions of the Whitham equation for large times

1994 ◽  
pp. 179-207
Keyword(s):  
Asymptotics Of Solutions ◽  
Whitham Equation

Solitons of Whitham equation with resonance dispersion

2021 ◽  
Vol 143 ◽  
pp. 110550
Author(s):  
A. Gevorgian ◽  
N. Kulagin ◽  
L. Lerman ◽  
A. Malkin
Keyword(s):  
Whitham Equation

Group Invariant Solutions and Conservation Laws of the Fornberg– Whitham Equation

2014 ◽  
Vol 69 (8-9) ◽  
pp. 489-496 ◽  
Author(s):  
Mir Sajjad Hashemi ◽  
Ali Haji-Badali ◽  
Parisa Vafadar
Keyword(s):  
Exact Solutions ◽  
Reduction Method ◽  
Lie Symmetry ◽  
First Integrals ◽  
Invariant Solutions ◽  
Analysis Method ◽  
Lie Symmetry Analysis ◽  
Group Invariant ◽  
Group Invariant Solutions ◽  
Whitham Equation

In this paper, we utilize the Lie symmetry analysis method to calculate new solutions for the Fornberg-Whitham equation (FWE). Applying a reduction method introduced by M. C. Nucci, exact solutions and first integrals of reduced ordinary differential equations (ODEs) are considered. Nonlinear self-adjointness of the FWE is proved and conserved vectors are computed

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