wave propagation/ dispersive wave equationnonlocal elasticitynonlocal continuum mechanicsmicrostructuresnanostructuresclassical gradient modelNonlocal continuum mechanics allows one to account for the small length scale effect that becomes significant when dealing with micro- or nano-structures. This Note ...
2) dispersive wave equation 色散水波方程 1. The dynamical behaviors of a class of nonlinearly dispersive wave equation with dissipation under the periodic boundary conditions are investigated. 在一定边界条件下研究一类新的带耗散项的色散水波方程动力学行为,获得该方程指数吸引子的存在性。 3) dispersive...
3) nonlinear wave equations 非线性波动方程组 1. The time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary condition was studied. 研究了一类广义耦合的非线性波动方程组关于时间周期解的问题· 首先利用Galerkin方法构造近似时间周期解序列,然后利用先验估计...
变形色散水波方程2) dispersive wave equation 色散水波方程 1. The dynamical behaviors of a class of nonlinearly dispersive wave equation with dissipation under the periodic boundary conditions are investigated. 在一定边界条件下研究一类新的带耗散项的色散水波方程动力学行为,获得该方程指数吸引子的存在性。
In this paper we consider the nonlinear dispersive wave equation on the real line, u t − u t x x + [ f ( u ) ] x − [ f ( u ) ] x x x + [ g ( u ) + f ″ ( u ) 2 u x 2 ] x = 0 , that for appropriate choices of the functions f and g includes well ...
The Cauchy Problem and Stability of Solitary-Wave Solutions for RLW–KP-Type Equations The Kadomtsev–Petviashvilli (KP) equation,( u t+ u x+ uu x+ u xxx) x+ εu yy=0, (*) arises in various contexts where nonlinear dispersive waves propagate ... JL Bona,L Yue,MM Tom - 《Journa...
Well-posedness for a nonlinearly dispersive wave equation 来自 Semantic Scholar 喜欢 0 阅读量: 17 作者: Yang Sheng-yao 摘要: In this paper,by applying the method of T.Kato,the Cauchy problem is studied for a new nonlinearly dispersive wave equation in weighted Sobolev spaces H2r,rand ...
A study of nonlinear dispersive equations with solitary-wave solutions having compact support With the use of Adomian decomposition method, the prototypical, genuinely nonlinear K( m, n) equation, u t+( u m) x+( u n) xxx=0, which exhibits compactons... AM Wazwaz - 《Mathematics & Compu...
and Whitham equations. It leads to the breakdown of periodic traveling wave pattern in these modes. In the literature, such instability had been studied a lot by the linearized equation, i.e., the spectra of the linearized operator. With Shasha Liao and Jiayin Jin, we are able to prove no...