20.500.12556/RUL-169659 On the theory of nonlinear landau damping An exact solution of the collisionless time-dependent Vlasov equation is found. For the first time in a century, an analytical solution to the one-dimensional time-dependent Vlasov–Boltzmann equation has been found. It has been found that instead of the widely discussed damping, waves are subject to instability. By means of this solution, the behavior of the Langmuir waves in the nonlinear stage is considered. A symmetry method is found that allows us to establish the dependence on time of the desired quantity based on the dependence on the previous time. The analysis is restricted by the consideration of the first nonlinear approximation—keeping the second power of the electric strength. It is shown that in general the waves with finite amplitudes are not subjected to the damping. Conditions have been found under which waves can be unstable. plasmawave analysis nonlinear Landau damping parametric instability collisionless Vlasov–Boltzmann kinetic equation true false true Angleški jezik Ni določen Članek v reviji 2025-06-06 11:50:31 2025-06-06 11:50:36 2025-06-08 04:25:43 0000-00-00 00:00:00 2025 0 0 11 str. iss. 6, art. 809 Vol. 17 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 534.2 2073-8994 10.3390/sym17060809 238548995 Kos_..._On_the_Theory_of_Nonlinear.pdf Kos_..._On_the_Theory_of_Nonlinear.pdf 1 8EAE5F426B57EF95E7A4851CD770FFB6 bf2e5f50288afb66bafea103255e09efbb52c93d4d04390cef0e23aaefd85c20 69e02622-42bb-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=211181 https://www.mdpi.com/2073-8994/17/6/809 1 5ff5bb91-42ba-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=211178 Fakulteta za strojništvo 0 0 0