The poincare-lighthill-kuo method

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 https://cray-cottage.com

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

The collisions of two ion acoustic solitary waves in a magnetized ...

Category:INIS Repository Search - Search Results

Tags:The poincare-lighthill-kuo method

The poincare-lighthill-kuo method

The Poincaré-Lighthill-Kuo Method Semantic Scholar

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. 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.

The poincare-lighthill-kuo method

Did you know?

WebbPoincare-Lighthill and linear-time-scales methods for linear perturbation problems A. Klimas, F. Murphy, G. Sandri Mathematics 1973 For a class of multidimensional linear … WebbThe Poincaré-Lighthill-Kuo Method H.S. Tsien (Daniel and Florence Guggenheim, Jet Propulsion Center, California Institute of Technology, Pasadena, California) Contents I. …

The PLK method is a foolproof method treating all problems on a uniform basis; … Webb17 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

WebbINIS Repository Search provides online access to one of the world's largest collections on the peaceful uses of nuclear science and technology. The International Nuclear Information System is operated by the IAEA in collaboration with over 150 members. Webb1 apr. 2015 · This option allows users to search by Publication, Volume and Page Selecting this option will search the current publication in context. Book Search tips Selecting this option will search all publications across the Scitation platform Selecting this option will search all publications for the Publisher/Society in context

Webb11 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.

simply checkingWebb1 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 … ray roman youtubeWebbPublisher Summary This chapter discusses the Poincare–Lighthill–Kuo method. Lighthill applied his method to problems involving partial differential equations when the zeroth … ray romano\\u0027s brotherWebb11 apr. 2024 · Request PDF Effect of Generalized (r, q) Distribution on Phase Shifts of Dust Acoustic Waves in Un-Magnetized Six Components Dusty Plasmas This study examines the interaction processes of dust ... simply checkedWebb11 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 ... ray romano\u0027s motherWebbBy 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. ray romano\u0027s brothersWebb20 okt. 2014 · The application scope of the Poincare-Lighthill-Kuo (PLK) method is suggested by using the Particle-in-cell (PIC) numerical method to study head-on collision of two solitary waves. Comparisons between … simply check in