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 … WebbFollowing the extended Poincaré-Lighthill-Kuo method, coupled Korteweg–de Vries (KdV) equations are derived for the interaction of two moving opposite Kinetic Alfvénic solitons and the ...
Effect of the ion drag force on head‐on collisions between two ...
WebbThe extended Poincaré–Lighthill–Kuo (PLK) perturbation method is employed to derived two KdV equations for magnetoacoustic solitons moving towards each other and … 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. ray romano the big sick
Nonlinear dynamics of soliton collisions in ... - 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 … Webb1 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. 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 ). ray romano shower