Dispersive Long Wave Equations
Complexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
... solitary wave solution of the (2+1)- dimensional dispersive long wave ...traveling wave hypothesis method and the ansatz approach to obtain solitary waves and complexiton solutions to ...
8
Lie Symmetry Analysis, Optimal Systems and Explicit Solutions of the Dispersive Long Wave Equations
... the dispersive long wave ...reduction equations directly, the power series method and the extended Tanh function method have been used to construct more explicit solutions, which can enrich ...
16
LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION
... θ(ξ, λ) = ˜ β, ξ ∈ M , ˜ β ˜ ∈ N . ˜ (2) can be used, where ˜ M and ˜ N are smooth finite dimensional manifolds. A passage from (1) into (2) (variant local scheme of Lyapunov -Schmidt) with the conditions that equation ...
8
EXISTENCE AND NONEXISTENCE OF BIFURCATION OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION
... nonlinear dispersive long wave in ...(2+1)-dimensional dispersive long-wave equation by using the variable separation ...solutions dispersive long-wave ...
10
Dispersive Traveling Wave Solution for Non Linear Waves Dynamical Models
... differential equations is not limited to areas of mathematics exclusively but also applicable in other science aspects like phys- ics and ...of long waves of small or moderate amplitude in shallow water of ...
14
The Characteristic Function Method and Its Application to (1 + 1) Dimensional Dispersive Long Wave Equation
... traveling wave solutions of nonlinear partial differen- tial equations in a unified ...1)-dimensional dispersive long wave). The equations governing the wave propagation ...
7
An effective absorbing boundary condition for linear long wave and linear dispersive wave tsunami simulations
... simulation of a tsunami with the LDW model is usually very expensive in terms of computational costs, which are roughly 30–100 times the costs of LLW tsunami simulations because of the iterative processes required to ...
14
Conservation laws, soliton like and stability analysis for the time fractional dispersive long wave equation
... Equation (7) has well been known as DLWE [52]. In the concept of the spectral transform, Eq. (7) is analyzed in [52] and thereafter in [53], where it was related to the Schrödinger equation with linear spectral ...
11
Beyond the KdV: post-explosion development
... EVOLUTION EQUATIONS The basic equations describing evolution of long nonlin- ear dispersive waves were first derived in the end of the 19th century by Boussinesq (1872) and Korteweg and de ...
13
Dispersive Study on Tsunami Propagation of The Indian Ocean Tsunami, 26 December 2004
... using dispersive and non- dispersive wave models (WNB and NLSW models, ...model equations showed that the NLSW model is quite reliable for practical purpose because this model gives consistent ...
6
Curvelets, wave atoms, and wave equations
... cross at a later time. This typically happens at cusp points, when caustics start developing. We refer the reader to [43, 89]. Because, we are interested in a statement valid for all times, we need to bootstrap the ...
202
A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term
... where υ, γ are positive constants, υ > 0 is the dissipative coefficient, and γ > 0 is the damping coefficient. Equations 1.4-1.5 are a reasonable model to render essential phenomena of nonlinear ion acoustic ...
16
A New Conservative Difference Scheme for the General Rosenau-RLW Equation
... ¨odinger equations, Regularized long wave RLW equations, Sine-Gordon equation, Klein-Gordon equation, Zakharov equations, Rosenau equation, ...
13
Tsunamis: The Response of Harbours with Sloping Boundaries to Long Wave Excitation
... This analysis consists of a derivation of the long wave equations of motion in the Lagrangian description for two horizontal coordinates, a derivation of a harbour resonance model applic[r] ...
335
Dispersive evolution of nonlinear fast magnetoacoustic wave trains
... propagating wave trains are frequently observed in extreme ultraviolet observations of the solar corona, or are inferred by the quasi-periodic modulation of radio ...The dispersive nature of fast ...
8
Solitary Wave Solution of the Two Dimensional Regularized Long Wave and Davey Stewartson Equations in Fluids and Plasmas
... solitary wave solutions of the two dimensional regularized long-wave equation in plasma and rotating flows simulated by using extended mapping method, and we hope these solitary waves are helpful to ...
11
Comparison of KP and BBM KP Models
... Kadomtsev-Petviashvili equations are two-dimen- sional extensions of the Korteweg-de-Vries ...nonlinear dispersive long waves which are essentially one directional, with weak transverse e ff ...
20
Remark on the well-posedness of weakly dispersive equations
... Vega, Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle , Commun.. Klein, and J.C.[r] ...
10
The kinematics, dynamics and statistics of three wave interactions in models of geophysical flow
... The aim of this chapter is to expand further upon this notion of critical- ity, except now applied to the dispersion relationship associated with the Charney- Hasagawa-Mima (CHM) equation. Rather than follow the same ...
193
Primary Assumptions and Guidance Laws in Wave Mechanics
... of Wave Mechanics, quite different, I will recall, from the one I had considered at the beginning of my research, is mainly due to Born, Bohr and Heisenberg, whose brilliant works are worthy, no doubt, of the ...
14