Reductive perturbation method for quasi one-dimensional nonlinear wave propagation II: Applications to magnetosonic waves

Wave Motion ◽  
1991 ◽  
Vol 13 (2) ◽  
pp. 133-146 ◽  
Author(s):  
Tosiya Taniuti ◽  
Akira Hasegawa
Keyword(s):  
Wave Propagation ◽  
Perturbation Method ◽  
Nonlinear Wave ◽  
Reductive Perturbation Method ◽  
Nonlinear Wave Propagation ◽  
One Dimensional ◽  
Reductive Perturbation

Nonlinear sausage-wave propagation in a magnetic slab in an incompressible fluid

1993 ◽  
Vol 49 (2) ◽  
pp. 271-282 ◽  
Author(s):  
M. S. Ruderman
Keyword(s):  
Wave Propagation ◽  
Incompressible Fluid ◽  
Perturbation Method ◽  
Governing Equation ◽  
Reductive Perturbation Method ◽  
Periodic Waves ◽  
Reductive Perturbation ◽  
Permanent Shape

Long nonlinear sausage-wave propagation in a magnetic slab in an incompressible plasma is considered. The governing equation is derived with the aid of the reductive perturbation method. The solutions of this equation in the form of periodic waves of permanent shape are found numerically.

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