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 … Webb1 mars 2001 · The Poincaré-Lighthill-Kuo method [25][26][27], abbreviated as the PLK method, was developed based on the Poincaré-Lindstedt technique, which is useful for …
Effect of Generalized (r, q) Distribution on Phase Shifts of Dust ...
Webb11 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. 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… church bats
The Poincaré-Lighthill-Kuo Method - ScienceDirect
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 … WebbThe interaction between two dust-acoustic solitary waves (DASWs) in a three-dimensional magnetized dusty plasma has been investigated theoretically, using the extended Poincare–Lighthill–Kuo method. The analytical phase shifts after the interaction of the two solitary waves are derived. 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 ). church battle map dnd