VARIATIONAL APPROACH TO THE BRIGHT-SOLITON OF THE FOURTH ORDER NONLINEAR SCHRÖDINGER EQUATION WITH CUBIC NONLINEARITY

2012 ◽  
Vol 26 (26) ◽  
pp. 1250147 ◽  
Author(s):  
WEI-MIN ZHANG
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Fourth Order ◽  
Schrodinger Equation ◽  
Variational Principles ◽  
Nonlinear Schrodinger Equation ◽  
Bright Soliton ◽  
Cubic Nonlinearity ◽  
Nonlinear Schrödinger ◽  
Bright Soliton Solution

Via He's semi-inverse method, variational principles are established for the fourth order nonlinear Schrödinger equation with cubic nonlinearity. Based on the obtained variational formulations, a bright-soliton solution can be obtained using He's variational method.

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