scholarly journals Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to a tumour invasion model

2015 ◽  
Author(s):  
Katsutaka Kimura ◽  
Hiroki Hoshino ◽  
Akisato Kubo
Keyword(s):  
Global Existence ◽  
Asymptotic Behaviour ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Tumour Invasion ◽  
Asymptotic Behaviour Of Solutions ◽  
Invasion Model

scholarly journals Nonlinear Evolution Equations and Its Application to a Tumour Invasion Model

2016 ◽  
Vol 06 (12) ◽  
pp. 878-893
Author(s):  
Akisato Kubo ◽  
Yuto Miyata ◽  
Hidetoshi Kobayashi ◽  
Hiroki Hoshino ◽  
Naoki Hayashi
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Tumour Invasion ◽  
Invasion Model

Traveling wave solutions for the Couple Boiti-Leon-Pempinelli System by using extended Jacobian elliptic function expansion method

2015 ◽  
Vol 11 (3) ◽  
pp. 3134-3138 ◽  
Author(s):  
Mostafa Khater ◽  
Mahmoud A.E. Abdelrahman
Keyword(s):  
Elliptic Function ◽  
Traveling Wave ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Traveling Wave Solutions ◽  
Expansion Method ◽  
Mathematical Physics ◽  
Nonlinear Evolution Equations ◽  
Jacobian Elliptic Function ◽  
Function Expansion

In this work, an extended Jacobian elliptic function expansion method is pro-posed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to the Couple Boiti-Leon-Pempinelli System which plays an important role in mathematical physics.

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