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Stability of solitary waves for the generalized higher-order Boussinesq equation
Boussinesq equation solitary waves stability Analysis of PDEs
2011/9/19
Abstract: This work studies the stability of solitary waves of a class of sixth-order Boussinesq equations.
Local well-posedness for the Sixth-Order Boussinesq Equation
Local well-posedness Sixth-Order Boussinesq Equation
2011/2/25
This work studies the local well-posedness of the initial-value problem for the nonlinear sixth-order Boussinesq equation utt = uxx + uxxxx + uxxxxxx + (u2)xx, where = ±1. We prove local well-posed...
Lyapunov Computational Method for Two-Dimensional Boussinesq Equation
Lyapunov Computational Method Two-Dimensional Boussinesq Equation
2010/11/11
A numerical method is developed leading to Lyapunov operators to approximate the solution of two-dimensional Boussinesq equation. It consists of an order reduction method and a finite difference disc...
Global solutions for the generalized Boussinesq equation in low-order Sobolev spaces
Global solutions generalized Boussinesq equation low-order Sobolev spaces
2010/12/14
We show that the Cauchy problem for the defocusing generalized Boussinesq equation utt − uxx + uxxxx − (|u|2ku)xx = 0, k 1, on the real line is globally well-posed in Hs(R) for s > 1W...
Exact solutions for a class of Boussinesq equation
Boussinesq equation projective Riccati equtions approach
2010/9/10
Based on a new projective Riccati equations approach and Maple software, a class of nonlinear evolution equation-Boussinesq equation is discussed in this paper, some new explicit and exact solutions a...
Exact solutions for a class of Boussinesq equation
Boussinesq equation projective Riccati equtions approach
2010/9/10
Based on a new projective Riccati equations approach and Maple software, a class of nonlinear evolution equation-Boussinesq equation is discussed in this paper, some new explicit and exact solutions a...
A note on one-dimensional optimal system of generalized Boussinesq equation
Lie group symmetry generalized boussinesq equation
2010/9/13
In this paper Lie group classification of a Generalized Bonussinesq Equation (p, q, r are constant) is obtained by the one-parameter optimal system of one-dimensional subalgebras of the Lie Algebra wh...