Some exact solutions of the many-dimensional Sine-Gordon equation

1984 ◽  
Vol 41 (14) ◽  
pp. 462-464 ◽  
Author(s):  
W. I. Fushchich ◽  
Yu. N. Seheda
Keyword(s):  
Exact Solutions ◽  
Gordon Equation ◽  
Sine Gordon Equation ◽  
The Many

EXPLICIT AND EXACT SOLUTIONS TO THE mKdV-SINE-GORDON EQUATION

2008 ◽  
Vol 22 (15) ◽  
pp. 1471-1485 ◽  
Author(s):  
YUANXI XIE
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Exact Solutions ◽  
Gordon Equation ◽  
Variable Separation ◽  
Sine Gordon Equation ◽  
Simple Manner

By introducing an auxiliary ordinary differential equation and solving it by the method of variable separation, rich types of explicit and exact solutions of the mKdV-sine-Gordon equation are presented in a simple manner.

scholarly journals Exact solutions to the sine-Gordon equation

2010 ◽  
Vol 51 (12) ◽  
pp. 123521 ◽  
Author(s):  
Tuncay Aktosun ◽  
Francesco Demontis ◽  
Cornelis van der Mee
Keyword(s):  
Exact Solutions ◽  
Gordon Equation ◽  
Sine Gordon Equation
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