Weakly non-linear, slowly varying waves and their instabilities
1972 ◽
Vol 72
(1)
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pp. 95-104
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AbstractA non-linear Klein–Gordon equation is used to discuss the theory of slowly varying, weakly non-linear wave trains. An averaged variational principle is used to obtain transport equations for the slow variations which incorporate the leading order modulation and non-linear terms. Linearized transport equations are used to discuss instabilities.
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2003 ◽
Vol 268
(5)
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pp. 1036-1040
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2016 ◽
Vol 116
(4)
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pp. 41001
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