Multi-soliton Solutions for a Class of Fifth-order Evolution Equations
نویسندگان
چکیده
منابع مشابه
Smoothing of a Class of Fifth Order Model Evolution Equations
Solutions of a class of fth-order model evolution equations corresponding to initial data in relatively weak function spaces are shown to exhibit a smoothing eeect of the type of Kato. These models include the next hierarchy of the Korteweg-de Vries equation. It is interesting to observe that conditions that guarantee smoother solutions in some of these weaker function spaces are exactly the on...
متن کاملON THE PERIODIC SOLUTIONS OF A CLASS OF nTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS *
The nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. Using the Leray-Schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.
متن کاملDecay Properties for Solutions of Fifth Order Nonlinear Dispersive Equations
We consider the initial value problem associated to a large class of fifth order nonlinear dispersive equations. This class includes several models arising in the study of different physical phenomena. Our aim is to establish special (space) decay properties of solutions to these systems. These properties complement previous unique continuation results and in some case, show that they are optim...
متن کاملCompacton solutions in a class of generalized fifth-order Korteweg-de Vries equations.
Solitons play a fundamental role in the evolution of general initial data for quasilinear dispersive partial differential equations, such as the Korteweg-de Vries (KdV), nonlinear Schrödinger, and the Kadomtsev-Petviashvili equations. These integrable equations have linear dispersion and the solitons have infinite support. We have derived and investigate a new KdV-like Hamiltonian partial diffe...
متن کاملTopological soliton solutions for some nonlinear evolution equations
and hosti .2013.08.0 Abstract In this paper, the topological soliton solutions of nonlinear evolution equations are obtained by the solitary wave ansatz method. Under some parameter conditions, exact solitary wave solutions are obtained. Note that it is always useful and desirable to construct exact solutions especially soliton-type (dark, bright, kink, anti-kink, etc.) envelope for the underst...
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: International Journal of Hybrid Information Technology
سال: 2014
ISSN: 1738-9968
DOI: 10.14257/ijhit.2014.7.4.02