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

Journal of Plasma Physics ◽

10.1017/s0022377800016986 ◽

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

Journal of the Physical Society of Japan ◽

10.1143/jpsj.27.1059 ◽

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

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

Journal of the Physical Society of Japan ◽

10.1143/jpsj.24.1159 ◽

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

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

Journal of the Physical Society of Japan ◽

10.1143/jpsj.29.209 ◽

1970 ◽

Vol 29 (1) ◽

pp. 209-214 ◽

Author(s):

Naruyoshi Asano ◽

Tosiya Taniuti

Keyword(s):

Wave Propagation ◽

Perturbation Method ◽

Nonlinear Wave ◽

Inhomogeneous Media ◽

Reductive Perturbation Method ◽

Nonlinear Wave Propagation ◽

Reductive Perturbation

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Reductive Perturbation Method in Nonlinear Wave Propagation. I

Journal of the Physical Society of Japan ◽

10.1143/jpsj.24.941 ◽

1968 ◽

Vol 24 (4) ◽

pp. 941-946 ◽

Author(s):

Tosiya Taniuti ◽

Chau-Chin Wei

Keyword(s):

Wave Propagation ◽

Perturbation Method ◽

Nonlinear Wave ◽

Reductive Perturbation Method ◽

Nonlinear Wave Propagation ◽

Reductive Perturbation

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Reductive perturbation method for quasi one-dimensional nonlinear wave propagation. I

Wave Motion ◽

10.1016/0165-2125(90)90006-p ◽

1990 ◽

Vol 12 (4) ◽

pp. 373-383 ◽

Author(s):

Tosiya Taniuti

Keyword(s):

Wave Propagation ◽

Perturbation Method ◽

Nonlinear Wave ◽

Reductive Perturbation Method ◽

Nonlinear Wave Propagation ◽

One Dimensional ◽

Reductive Perturbation

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

Journal of the Physical Society of Japan ◽

10.1143/jpsj.29.220 ◽

1970 ◽

Vol 29 (1) ◽

pp. 220-224 ◽

Author(s):

Naruyoshi Asano

Keyword(s):

Wave Propagation ◽

Perturbation Method ◽

Nonlinear Wave ◽

Inhomogeneous Media ◽

Reductive Perturbation Method ◽

Nonlinear Wave Propagation ◽

Reductive Perturbation

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

Wave Motion ◽

10.1016/0165-2125(91)90020-o ◽

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

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Reductive Perturbation Method in Nonlinear Wave Propagation III.

Kakuyūgō kenkyū ◽

10.1585/jspf1958.22.323 ◽

1969 ◽

Vol 22 (5) ◽

pp. 323-347

Keyword(s):

Wave Propagation ◽

Perturbation Method ◽

Nonlinear Wave ◽

Reductive Perturbation Method ◽

Nonlinear Wave Propagation ◽

Reductive Perturbation

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The reductive perturbation method and some of its applications

Journal of Physics B Atomic Molecular and Optical Physics ◽

10.1088/0953-4075/41/4/043001 ◽

2008 ◽

Vol 41 (4) ◽

pp. 043001 ◽

Author(s):

Hervé Leblond

Keyword(s):

Perturbation Method ◽

Reductive Perturbation Method ◽

Reductive Perturbation

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Application of reductive perturbation method to branching of stationary solutions

Chemical Engineering Science ◽

10.1016/s0009-2509(01)00101-4 ◽

2001 ◽

Vol 56 (12) ◽

pp. 3915-3922 ◽

Author(s):

Satish R. Inamdar ◽

I.A. Karimi

Keyword(s):

Perturbation Method ◽

Stationary Solutions ◽

Reductive Perturbation Method ◽

Reductive Perturbation

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