scholarly journals Spreading speeds and traveling wave solutions in cooperative integral-differential systems

2015 ◽  
Vol 20 (6) ◽  
pp. 1663-1684 ◽  
Author(s):  
Changbing Hu ◽  
◽  
Yang Kuang ◽  
Bingtuan Li ◽  
Hao Liu ◽  
...  
Keyword(s):  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Spreading Speeds ◽  
Differential Systems ◽  
Wave Solutions

scholarly journals Traveling wave solutions of an ordinary-parabolic system in R2 and a 2D-strip

2016 ◽  
Vol 10 (1) ◽  
pp. 208-230
Author(s):  
Yanling Tian ◽  
Chufen Wu ◽  
Zhengrong Liu
Keyword(s):  
Parabolic System ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Model System ◽  
Spreading Speeds ◽  
New Approach ◽  
Wave Speeds ◽  
Wave Solutions ◽  
Predator Model ◽  
Insight Into

We investigate a prey-predator model, which we describe by an ordinary- parabolic system. We obtain four types of wave solutions of this system, which are connecting different equilibria. To establish the existence of four types of traveling wave solutions with double wave speeds, we introduce a new approach to constructing monotonous iteration schemes. Moreover, by using spreading speeds, we establish the non-existence of traveling wave solutions. Our results provide insight into the dynamics of this model system.

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.

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