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- W2014428699 abstract "Since Zakharov's work of 1972, it is well known that self-focusing of Langmuir waves in a plasma produces collapsing wave packets. However, although it tends to build a point singularity when dissipation is disregarded, further numerical computations exhibited pancake-shaped solutions rather than spherical ones. In this paper, we first propose an analogy between self-focusing waves and self-gravitating systems which clarifies pancake formation. Then we construct a group transformation that allows to solve for the evolution of pancakes explicitly, for both a homogeneous and an inhomogeneous medium. The transformed problem can be investigated by the inverse scattering method and its subsequent perturbation technique." @default.
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- W2014428699 date "1987-07-01" @default.
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- W2014428699 title "The anisotropic collapse of Langmuir waves" @default.
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- W2014428699 doi "https://doi.org/10.1016/0167-2789(87)90010-8" @default.
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