the tanh method for solutions of the nonlinear modied korteweg de vries equation
نویسندگان
چکیده
in this paper, we have studied on the solutions of modied kdv equation andalso on the stability of them. we use the tanh method for this investigationand given solutions are good-behavior. the solution is shock wave and can beused in the physical investigations
منابع مشابه
The tanh method for solutions of the nonlinear modied Korteweg de Vries equation
In this paper, we have studied on the solutions of modied KdV equation andalso on the stability of them. We use the tanh method for this investigationand given solutions are good-behavior. The solution is shock wave and can beused in the physical investigations
متن کاملNumerical Simulations of the Complex Modi ed Korteweg de Vries Equation
In this paper implementations of three numerical schemes for the numerical simulation of the complex modi ed Korteweg de Vries CMKdV equation are reported The rst is an integrable scheme derived by methods related to the Inverse Scattering Transform IST The second is derived from the rst and is called the local IST scheme The third is a standard nite di erence scheme for the CMKdV equation Trav...
متن کاملRough solutions for the periodic Korteweg–de Vries equation
We show how to apply ideas from the theory of rough paths to the analysis of low-regularity solutions to non-linear dispersive equations. Our basic example will be the one dimensional Korteweg– de Vries (KdV) equation on a periodic domain and with initial condition in FLα,p spaces. We discuss convergence of Galerkin approximations, a modified Euler scheme and the presence of a random force of w...
متن کاملUnbounded Solutions of the Modified Korteweg-De Vries Equation
Abstract We prove local existence and uniqueness of solutions of the focusing modified Korteweg de Vries equation ut+u 2 ux+uxxx = 0 in classes of unbounded functions that admit an asymptotic expansion at infinity in decreasing powers of x. We show that an asymptotic solution differs from a genuine solution by a smooth function that is of Schwartz class with respect to x and that solves a gener...
متن کاملGlobal controllability of a nonlinear Korteweg-de Vries equation
We are interested in both the global exact controllability to the trajectories and in the global exact controllability of a nonlinear Korteweg-de Vries equation in a bounded interval. The local exact controllability to the trajectories by means of one boundary control, namely the boundary value at the left endpoint, has already been proved independently by L. Rosier and by O. Glass and S. Guerr...
متن کاملNonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg-de Vries Equation
In this paper, we study the orbital stability for a four-parameter family of periodic stationary traveling wave solutions to the generalized Korteweg-de Vries (gKdV) equation ut = uxxx + f(u)x. In particular, we derive sufficient conditions for such a solution to be orbitally stable in terms of the Hessian of the classical action of the corresponding traveling wave ordinary differential equatio...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
نظریه تقریب و کاربرد های آنجلد ۹، شماره ۱، صفحات ۴۷-۵۴
کلمات کلیدی
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023