The poincare-lighthill-kuo method
WebbABSTRACT: To understand the characteristics of ocean internal waves better, we study the dispersion relation of extended-Korteweg-de Vries (EKdV) equation with quadratic and cubic nonlinear terms in a two-layer fluid by using the Poincaré-Lighthill-Kuo (PLK) method which is one of the perturbation methods. WebbUpon discovering the wrongness of the statement “although this term does not cause any secularity for this order it will cause secularity at higher order expansion, therefore, that term must vanish” by Su and Mirie [4], in the present work, we studied the head-on collision of two solitary waves propagating in shallow water by introducing a set of stretched …
The poincare-lighthill-kuo method
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Webb26 aug. 1998 · The following note uses the Poincaré–Lighthill–Kuo method to treat the general problem of wave propagation in an inhomogeneous medium through the model example (due to Lesser [J. Acoust. Soc. Am. 47, 1297 (1969)] utt − [1+ε a ( x, t )] 2uxx =0, ε≪1; u ( x ,0) = f ( x ), ut ( x ,0) = g ( x ). Webb3 jan. 2001 · This chapter discusses the Poincaré–Lighthill–Kuo method. Lighthill applied his method to problems involving partial differential equations when the zeroth order …
Webb10 juli 2024 · We consider that the lower- and upper-layer fluids having different constant densities are incompressible, and the motion is irrotational. The asymptotic series solutions of the resulting highly nonlinear coupled differential equations are deduced with the combination of a method of strained coordinates and the Poincaré–Lighthill–Kuo … WebbThis paper elucidates the effectiveness of combining the Poincare-Lighthill-Kuo method (PLK method, for short) and symbolic computation. Firstly, the idea and history of the …
WebbBy using the extended Poincaré-Lighthill-Kuo perturbation method, the analytical phase shifts following the head-on collision are derived. The effects of the ratio of ion temperature to electron temperature, the ratio of the number density of ions to the number density of electrons, and the dust charge variation on the phase shift are studied. WebbUsing the extended Poincaré-Lighthill-Kuo (EPLK) method, the interaction between two ion acoustic solitary waves (IASWs) in a multicomponent magnetized plasma (including Tsallis nonextensive electrons) has been theoretically investigated. The analytical phase shifts of the two solitary waves after interaction are estimated. The proposed model leads to …
WebbAcoustic solitons obtained through a reductive perturbation scheme are normally governed by a Korteweg-de Vries (KdV) equation. In multispecies plasmas at critical compositions the coefficient of the quadratic nonlinea…
Webb22 okt. 1977 · PERTURBATION METHODS AND NON-LINEAR HYPERBOLIC WAVES Using the method of strained co-ordinates which is sometimes referred to as the … philippines tabloid newspaperWebb11 apr. 2024 · In this paper, the model is augmented by incorporating the ion drag force on dust grains. By way of the extended perturbation method of Poincaré-Lighthill-Kuo, Korteweg-de Vries equations are derived. The wave characteristics along with the phase shifts after the head-on collision are analytically established and numerically assessed. trunks powering upWebb1949 年5 月19 日，Lighthill[2]在伦敦数学学会所作的讲演中，提出了一种求得物理问 题一致有效近似解的技巧，介绍了对Poincaré 方法的一种非常重要的推广。Lighthill 的目的 在 … trunks scouter dragon ballWebb1 mars 1996 · The head-on collision of two concentric cylindrical, ion acoustic solitary waves traveling in opposite directions is considered by extending the Poincaré-Lighthill-Kuo method to the cylindrical geometry. trunks suppliers new york usaWebb11 apr. 2024 · Download Citation On Apr 11, 2024, S. Kadi and others published Effect of the ion drag force on head‐on collisions between two nonlinear dust acoustic waves in a strongly coupled dusty plasma ... trunks spirit bomb sword explainedWebb11 apr. 2024 · By employing the extended Poincare-Lighthill-Kuo (PLK) method, two-sided Korteweg-deVries-Burgers (KdVB) equations and their corresponding phase shifts for the shock wave are also derived. trunks stops death ballWebb17 feb. 2012 · Numerical Methods for Partial Differential Equations, Vol. 11, No. 4 Existence of Quasi-Solutions of Systems of Nonlinear Elliptic BVP’s Suggested by Biochemical Reactions Optimal Control for a Class of Integral Equations philippines tackle shop