Results 21 to 30 of about 137 (41)
Application of the bifurcation method to the modified Boussinesq equation [PDF]
, 2014 In this paper, we investigate the modified Boussinesq equation $$u_{tt}- u_{xx}-\varepsilon u_{xxxx}-3(u^2)_{xx}+3(u^2u_x)_{x}=0.$$ Firstly, we give a property of the solutions of the equation, that is, if $1+u(x, t)$ is a solution, so is $1-u(x, t ...
Li, Shaoyong
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Peaked solitary waves and shock waves of the Degasperis-Procesi-Kadomtsev-Petviashvili equation
Advances in Nonlinear AnalysisIn this study, we establish the existence and nonexistence of smooth and peaked solitary wave solutions (or periodic) to the Degasperis-Procesi-Kadomtsev-Petviashvili (DP-KP) equation with a weak transverse effect.
Moon Byungsoo, Yang Chao
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Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]
, 2003 2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type.
Hakkaev, Sevdzhan
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New asymptotic heat transfer model in thin liquid films
, 2017 In this article, we present a model of heat transfer occurring through a li\-quid film flowing down a vertical wall. This new model is formally derived using the method of asymptotic expansions by introducing appropriately chosen dimensionless variables.
Chhay, Marx +3 more
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Solitary wave solutions to a class of Whitham?Boussinesq systems [PDF]
, 2019 In this note, we study solitary wave solutions of a class of Whitham–Boussinesq systems which include the bidirectional Whitham system as a special example. The travelling wave version of the evolution system can be reduced to a single evolution equation,
Nilsson, Dag Viktor, Wang, Yuexun
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Petrov galerkin method with cubic B splines for solving the MEW equation [PDF]
, 2012 In the present paper, we introduce a numerical solution algorithm based on a Petrov-Galerkin method in which the element shape functions are cubic B-splines and the weight functions quadratic B-splines .
Geyikli, Turabi +1 more
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Some special solutions to the Hyperbolic NLS equation
, 2017 The Hyperbolic Nonlinear Schrodinger equation (HypNLS) arises as a model for the dynamics of three-dimensional narrowband deep water gravity waves. In this study, the Petviashvili method is exploited to numerically compute bi-periodic time-harmonic ...
Dutykh, Denys +2 more
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The KdV hierarchy: universality and a Painleve transcendent
, 2011 We study the Cauchy problem for the Korteweg-de Vries (KdV) hierarchy in the small dispersion limit where $\e\to 0$. For negative analytic initial data with a single negative hump, we prove that for small times, the solution is approximated by the ...
Claeys, T., Grava, T.
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Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity [PDF]
, 2006 This paper is concerned with the inhomogeneous nonlinear Shrödinger equation (INLS-equation)iu_t + Δu + V(Єx)│u│^pu = 0, x Є R^N. In the critical and supercritical cases p ≥ 4/N, with N ≥ 2, it is shown here that standing-wave solutions of (INLS-equation)
Liu, Yue, Wang, Ke, Wang, Xiao-Ping
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, 2016 A new modified Galerkin / Finite Element Method is proposed for the numerical solution of the fully nonlinear shallow water wave equations. The new numerical method allows the use of low-order Lagrange finite element spaces, despite the fact that the ...
Alenitsyn +62 more
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