Asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients
نویسندگان
چکیده
منابع مشابه
Benjamin-Bona-Mahony Equation with Variable Coefficients: Conservation Laws
This paper aims to construct conservation laws for a Benjamin–Bona–Mahony equation with variable coefficients, which is a third-order partial differential equation. This equation does not have a Lagrangian and so we transform it to a fourth-order partial differential equation, which has a Lagrangian. The Noether approach is then employed to construct the conservation laws. It so happens that th...
متن کاملTravelling wave solutions of the generalized Benjamin-Bona-Mahony equation
A class of particular travelling wave solutions of the generalized Benjamin-BonaMahony equation are studied systematically using the factorization technique. Then, the general travelling wave solutions of Benjamin-Bona-Mahony equation, and of its modified version, are also recovered. Pacs:05.45.Yv, 52.35.Mw, 52.35.Sb, 02.30.Jr
متن کاملExact Solutions of the Generalized Benjamin-Bona-Mahony Equation
We apply the theory of Weierstrass elliptic function to study exact solutions of the generalized Benjamin-Bona-Mahony equation. By using the theory of Weierstrass elliptic integration, we get some traveling wave solutions, which are expressed by the hyperbolic functions and trigonometric functions. This method is effective to find exact solutions of many other similar equations which have arbit...
متن کاملControllability of the Benjamin-Bona-Mahony Equation Controlabilidad de la Ecuación de Benjamin-Bona-Mahony
Abstract In this note we study the controllability of the Generalized BenjaminBona-Mahony equation (BBM) with homogeneous Dirichlet boundary conditions. Under some conditions we shall prove the system is approximately controllable on [0, t1] if and only if the following algebraic condition holds Rank[Bj ] = γj , where Bj acts from IR m to R(Ej), λj ’ s are the eigenvalues of −∆ with Dirichlet b...
متن کاملTravelling Wave Solutions to the Generalized Benjamin-Bona-Mahony (BBM) Equation Using the First Integral Method
In this paper, we investigate the first integral method for solving the generalized Benjamin-BonaMahony (BBM) equation. This idea can obtain some exact solutions of this equations based on the theory of Commutative algebra.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2019
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.5085291