Reductive Perturbation Method in Nonlinear Wave Propagation II. Application to Hydromagnetic Waves in Cold Plasma

1968 ◽  
Vol 24 (5) ◽  
pp. 1159-1166 ◽  
Author(s):  
Tsunehiko Kakutani ◽  
Hiroaki Ono ◽  
Tosiya Taniuti ◽  
Chau-Chin Wei
Keyword(s):  
Wave Propagation ◽  
Perturbation Method ◽  
Nonlinear Wave ◽  
Cold Plasma ◽  
Reductive Perturbation Method ◽  
Nonlinear Wave Propagation ◽  
Reductive Perturbation ◽  
Hydromagnetic Waves

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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