Traveling-wave solutions to thin-film equations

1993 ◽  
Vol 48 (6) ◽  
pp. 4423-4431 ◽  
Author(s):  
Stefanella Boatto ◽  
Leo P. Kadanoff ◽  
Piero Olla
Keyword(s):  
Thin Film ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Wave Solutions ◽  
Thin Film Equations

scholarly journals New Application of the(G′/G)-Expansion Method for Thin Film Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Wafaa M. Taha ◽  
M. S. M. Noorani ◽  
I. Hashim
Keyword(s):  
Thin Film ◽  
Traveling Wave ◽  
Closed Form Solution ◽  
Traveling Wave Solutions ◽  
Expansion Method ◽  
Form Solution ◽  
Thin Film Equations ◽  
First Time ◽  
Positive Integers ◽  
Good Agreement

The(G′/G)-expansion method is used for the first time to find traveling wave solutions for thin film equations, where it is found that the related balance numbers are not the usual positive integers. The closed-form solution obtained via this method is in good agreement with the previously obtained solutions of other researchers. It is also noted that, for appropriate parameters, new solitary waves solutions are found.

scholarly journals Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner’s law

Nonlinearity ◽  
2016 ◽  
Vol 29 (9) ◽  
pp. 2497-2536 ◽  
Author(s):  
Lorenzo Giacomelli ◽  
Manuel V Gnann ◽  
Felix Otto
Keyword(s):  
Thin Film ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Wave Solutions ◽  
Thin Film Equation

scholarly journals On the stability of traveling wave solutions to thin-film and long-wave models for film flows inside a tube

2021 ◽  
Vol 415 ◽  
pp. 132750 ◽  
Author(s):  
Roberto Camassa ◽  
Jeremy L. Marzuola ◽  
H. Reed Ogrosky ◽  
Sterling Swygert
Keyword(s):  
Thin Film ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Wave Solutions ◽  
Long Wave ◽  
Wave Models ◽  
The Stability ◽  
Film Flows

Traveling wave solutions of the one-dimensional Boussinesq paradigm equation

2013 ◽  
Author(s):  
V. M. Vassilev ◽  
P. A. Djondjorov ◽  
M. Ts. Hadzhilazova ◽  
I. M. Mladenov
Keyword(s):  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
One Dimensional ◽  
Wave Solutions ◽  
The One

scholarly journals Lie Group Method for Solving the Negative-Order Kadomtsev–Petviashvili Equation (nKP)

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 224
Author(s):  
Ghaylen Laouini ◽  
Amr M. Amin ◽  
Mohamed Moustafa
Keyword(s):  
Lie Group ◽  
Traveling Wave ◽  
Invariant Solution ◽  
Traveling Wave Solutions ◽  
Group Method ◽  
Lie Group Method ◽  
Reduced Equations ◽  
Wave Solutions ◽  
Negative Order ◽  
Petviashvili Equation

A comprehensive study of the negative-order Kadomtsev–Petviashvili (nKP) partial differential equation by Lie group method has been presented. Initially the infinitesimal generators and symmetry reduction, which were obtained by applying the Lie group method on the negative-order Kadomtsev–Petviashvili equation, have been used for constructing the reduced equations. In particular, the traveling wave solutions for the negative-order KP equation have been derived from the reduced equations as an invariant solution. Finally, the extended improved (G′/G) method and the extended tanh method are described and applied in constructing new explicit expressions for the traveling wave solutions. Many new and more general exact solutions are obtained.

On the Exact Traveling Wave Solutions to the van der Waals p-System

2021 ◽  
Vol 7 (3) ◽  
Author(s):  
M. Bilal ◽  
M. Younis ◽  
H. Rezazadeh ◽  
T. A. Sulaiman ◽  
A. Yusuf ◽  
...  
Keyword(s):  
Traveling Wave ◽  
Van Der Waals ◽  
Traveling Wave Solutions ◽  
P System ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions
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