Initial-boundary value problems in a half-strip for two-dimensional Zakharov–Kuznetsov equation

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

approximating initial-value problems with two-point boundary-value problems: bbm-equation

Linearizable Initial-Boundary Value Problems for the sine-Gordon Equation on the Half-Line

A rigorous methodology for the analysis of initial boundary value problems on the half-line, 0 < x < ∞, t > 0, for integrable nonlinear evolution PDEs has recently appeared in the literature. As an application of this methodology the solution q(x, t) of the sine-Gordon equation can be obtained in terms of the solution of a 2× 2 matrix Riemann-Hilbert problem. This problem is formulated in the c...

Approximating Initial-value Problems with Two-point Boundary-value Problems: Bbm-equation

The focus of the present study is the BBM equation which models unidirectional propagation of small amplitude, long waves in dispersive media. This evolution equation has been used in both laboratory and field studies of water waves. The principal new result is an exact theory of convergence of the two-point boundary-value problem to the initial-value problem posed on an infinite stretch of the...

Augmented Lagrangian method for solving absolute value equation and its application in two-point boundary value problems

One of the most important topic that consider in recent years by researcher is absolute value equation (AVE). The absolute value equation seems to be a useful tool in optimization since it subsumes the linear complementarity problem and thus also linear programming and convex quadratic programming. This paper introduce a new method for solving absolute value equation. To do this, we transform a...