solitary wave
Solitary wave propagation and interactions for a sixth order generalized Boussinesq equation
... In the numerical study of the Fermi-Pasta-Ulam problem [5], Kruskal and Zabusky avoided the di ffi culty of BaBE problem by considering its unidirectional variant, that is, the KdV equation [14]. The intriguing findings ...
14
A Solitary Wave Propagates through a Gap into a Channel with an Upward Step
... reflected wave are generated from the corners of the opening creating crosswise ...transmitted wave maintain as a solitary wave with some emerged trailing ...waves. Wave fission showing ...
6
Numerical investigation of free surface flood wave and solitary wave using incompressible SPH method
... flood wave problems and the solitary wave in open-channel on a stiff bed are used to illustrate the model's capacity to calculate the free- surface position and the distort of the water ...
13
Travelling Solitary Wave Solutions to Higher Order Korteweg de Vries Equation
... The travelling solitary wave solutions to the higher order Korteweg-de Vries equation are obtained by using tanh-polynomial method. The method is ef- fective and concise, which is also applied to various ...
7
Two- and three-dimensional computation of solitary wave runup on non-plane beach
... the solitary wave runup, the CFD code FLOW-3D developed by Hirt and Nichols (1981) is ...study solitary wave runup on a conical island, and the model accuracy was verified by comparing the ...
14
An intrusion layer in stationary incompressible fluids Part 2: A solitary wave
... Similar intrusion currents may also be formed in the atmosphere. Flynn & Sutherland [9] have described how the anvil cloud of a thunderstorm may form an intrusion layer at about the level of the tropopause, for ...
19
Exact dipole solitary wave solution in metamaterials with higher order dispersion
... the solitary waves remain at the same value of ...the solitary waves have different pulse widths and velocities for fixed ϖ, which are in agreement with the curves of Figure ...
9
New Solitary Wave Solutions for Some Non-linear Partial Differential Equations
... traveling wave solution for nonlinear partial differential ...new solitary wave solutions for Drinfel’d–Sokolov–Wilson equation, Fornberg-Whitham equation, potential-TSF equation, Jimbo-Miwa ...
11
Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method
... The homotopy analysis method is applied to the Degasperis–Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and ...
13
New solitary wave solutions of some nonlinear models and their applications
... The paper is organized as follows. The chief steps of the description method are specified in Sect. 2. In Sect. 3, we apply the present method to our three selective models for con- structing exact and solitary ...
12
Exact solitary wave and quasi periodic wave solutions of the KdV Sawada Kotera Ramani equation
... exact solitary wave solutions and quasi-periodic traveling wave solutions of the KdV-Sawada-Kotera-Ramani equation by using a method which we introduce here for the first ...traveling wave ...
12
EXPERIMENT INVESTIGATION OF TURBULENCE GENERATED BY SOLITARY WAVE OVER SMOOTH BEDS
... From this Figure-2, it can be noticed obviously velocity distribution in the end of oscillatory motion at several time variations at t = 10.00s, 10.50s, 11.00s, 11.50s, 12.00s and 12.35s, at t = 10.00s a velocity (u) at ...
6
Analysis of solitary wave impulses in granular chains using ultrasonic excitation
... a solitary wave propagating along the chain predicted by the numerical solution is smaller than that predicted by existing analytical solutions, and the characteristic size of the soliton is also slightly ...
14
New Applications to Solitary Wave Ansatz
... Nonlinear wave is one of the fundamental objects of nature and a growing interest has been given to the prop- agation of nonlinear waves in the dynamical ...The solitary wave ansatz method [13] [14] ...
6
Solitary Wave Solution of the Two Dimensional Regularized Long Wave and Davey Stewartson Equations in Fluids and Plasmas
... the 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 ...
11
This is the second in a series of two papers investigating the solitary wave solutions of the integrable model wave equation
... the solitary wave solutions investigated in part I are extended as analytic functions in the complex plane, except at most countably many branch points and branch ...
40
New study to construct new solitary wave solutions for generalized sinh- Gordon equation
... [1-3], solitary wave ansatze method [4–6], tanh method [7,8],multiple exp-function method [9], Kudryashov method [10–11], Hirota’s direct method [12,13], transformed rational function method [14] and ...
6
Solitary Wave solutions of the BK equation and ALWW system by using the first integral method
... In this present work we have presented a number of solitary wave solutions to the Broer-Kaup equations and approximate long water wave equations. The first integral method is a very powerful method ...
11
Characteristics of solitary wave in fiber bragg grating
... This research aims to optimize and characterised the nonlinear parameters in terms of the potential energy. A mathematical model on solitary wave will be developed to show the existence of bright ...
26
Complexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
... long wave equa- tion is studied. The traveling wave hypothesis yields complexiton ...the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield ...
8