نتایج جستجو برای: kawahara
تعداد نتایج: 298 فیلتر نتایج به سال:
Studied here is the Kawahara equation, a fifth-order Korteweg-de Vries type with time-delayed internal feedback. Under suitable assumptions on time delay coefficients, we prove that solutions of this system are exponentially stable. First, considering damping and delayed system, some restriction spatial length domain, energy goes to $ 0 as t \rightarrow \infty $. After that, by introducing more...
Received July 24, 2015; accepted October 1, 2015; released online October 23, 2015 Time for primary review: 52 days Department of Cardiovascular Medicine (T. Toyota, N.S., M.I., H.W., T. Taniguchi, J.T., T.K.), Department of Cardiovascular Surgery (K.M., K.U., H.N., Y.K., K.Y.) and Department of Anesthesiology (H.D.), Graduate School of Medicine, Kyoto University, Kyoto, Japan Mailing address: ...
For a simple model of chaotic dynamical systems with a large number of degrees of freedom, we find that there is an ensemble of unstable periodic orbits (UPOs) with the special property that the expectation values of macroscopic quantities can be calculated using only one UPO sampled from the ensemble. Evidence to support this conclusion is obtained by generating the ensemble by Monte Carlo cal...
We develop a robust Christov–Galerkin spectral technique for computing interacting localized wave solutions of and fourth and sixth-order generalized wave equations. To this end, a special complete orthonormal system of functions in Lð 1;1Þ is used whose rate of convergence is shown to be exponential for the cases under consideration. For the time-stepping, an implicit algorithm is chosen which...
The paper concerns capillary-gravity surface waves propagating on a two-dimensional incompressible and inviscid fluid with or without an obstacle placed at flat horizontal bottom. Formally second-order correct model equations, analogous to the first-order KdV equation, are derived under classical assumptions of long wavelength small amplitude waves. equations fifth-order type where bottom intro...
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