Exact solutions for nonlinear variants of Kadomtsev–Petviashvili (n, n) equation using functional variable method

Pramana ◽  
2013 ◽  
Vol 81 (6) ◽  
pp. 911-924 ◽  
Author(s):  
M MIRZAZADEH ◽  
M ESLAMI
Keyword(s):  
Exact Solutions ◽  
Variable Method ◽  
Functional Variable ◽  
Functional Variable Method

Functional variable method to study nonlinear evolution equations

2013 ◽  
Vol 3 (3) ◽  
Author(s):  
Mostafa Eslami ◽  
Mohammad Mirzazadeh
Keyword(s):  
Exact Solutions ◽  
Wave Equations ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Variable Method ◽  
Nonlinear Wave Equations ◽  
Wave Solutions ◽  
Functional Variable ◽  
Functional Variable Method

AbstractThe functional variable method is a powerful solution method for obtaining exact solutions of nonlinear evolution equations. This method presents a wider applicability for handling nonlinear wave equations. In this paper, the functional variable method is used to construct exact solutions of Davey-Stewartson equation, generalized Zakharov equation, K(m, n) equation with generalized evolution term, (2 + 1)-dimensional long-wave-short-wave resonance interaction equation and nonlinear Schrödinger equation with power law nonlinearity. The obtained solutions include solitary wave solutions, periodic wave solutions.

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