scholarly journals Low regularity global solutions for nonlinear evolution equations of Kirchhoff type

2007 ◽  
Vol 332 (2) ◽  
pp. 1195-1215 ◽  
Author(s):  
Stefano Panizzi
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Global Solutions ◽  
Nonlinear Evolution Equations ◽  
Low Regularity ◽  
Kirchhoff Type

scholarly journals Generalized quasilinear hyperbolic equations and Yosida approximations

2003 ◽  
Vol 74 (1) ◽  
pp. 69-86 ◽  
Author(s):  
Jong Yeoul Park ◽  
Il Hyo Jung ◽  
Yong Han Kang
Keyword(s):  
Cauchy Problem ◽  
Boundary Conditions ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Hyperbolic Equations ◽  
Global Solutions ◽  
Global Solvability ◽  
Nonlinear Evolution Equations ◽  
Damping Term ◽  
The Cauchy Problem

AbstractWe will show the existence, uniqueness and regularity of global solutions for the Cauchy problem for nonlinear evolution equations with the damping term .As an application of our results, we give the global solvability and regularity of the mixed problem with Dirichiet boundary conditions:

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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