scholarly journals Boundary layer for nonlinear evolution equations with damping and diffusion

2012 ◽  
Vol 32 (1) ◽  
pp. 331-352 ◽  
Author(s):  
Lizhi Ruan ◽  
◽  
Changjiang Zhu
Keyword(s):  
Boundary Layer ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
And Diffusion

scholarly journals Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Linrui Li ◽  
Shu Wang
Keyword(s):  
Boundary Layer ◽  
Evolution Equations ◽  
Convergence Rates ◽  
Nonlinear Evolution ◽  
Mixed Boundary ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Nonlinear Evolution Equations ◽  
Diffusion Limit ◽  
Evolution System

We study an initial-boundary value problem for a nonlinear evolution system with damping and diffusion; our main purpose is to investigate the boundary layer effects when the vanishing diffusion limit α→0+, especially for the mixed boundary conditions; we prove that the thickness of layer is of the order O(α). Furthermore, the corresponding convergence rates are also obtained.

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.

scholarly journals The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations

2021 ◽  
Vol 22 ◽  
pp. 103979
Author(s):  
Nauman Raza ◽  
Muhammad Hamza Rafiq ◽  
Melike Kaplan ◽  
Sunil Kumar ◽  
Yu-Ming Chu
Keyword(s):  
Local Time ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Soliton Solutions ◽  
Nonlinear Evolution Equations ◽  
The Unified Method ◽  
Unified Method

scholarly journals Motion of curves and surfaces and nonlinear evolution equations in (2+1) dimensions

1998 ◽  
Vol 39 (7) ◽  
pp. 3765-3771 ◽  
Author(s):  
M. Lakshmanan ◽  
R. Myrzakulov ◽  
S. Vijayalakshmi ◽  
A. K. Danlybaeva
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Curves And Surfaces

New Integrable Nonlinear Evolution Equations

1979 ◽  
Vol 47 (5) ◽  
pp. 1698-1700 ◽  
Author(s):  
Miki Wadati ◽  
Kimiaki Konno ◽  
Yoshi H. Ichikawa
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations
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