Reductive Perturbation Method for Nonlinear Wave Propagation in Inhomogeneous Media. I

1969 ◽  
Vol 27 (4) ◽  
pp. 1059-1062 ◽  
Author(s):  
Naruyoshi Asano ◽  
Tosiya Taniuti
Keyword(s):  
Wave Propagation ◽  
Perturbation Method ◽  
Nonlinear Wave ◽  
Inhomogeneous Media ◽  
Reductive Perturbation Method ◽  
Nonlinear Wave Propagation ◽  
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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