共查询到20条相似文献,搜索用时 62 毫秒
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
The paper presents a number of new exact solutions to nonlinear reaction–diffusion equations with delay of the form where is the delay time, and is an arbitrary function of two arguments. Solutions are sought in the form of a generalized traveling-wave, with . It is shown that one of the two functional coefficients and of the equation considered can be specified arbitrarily. Examples of delay reaction–diffusion equations and their solutions are given. New exact solutions of few other nonlinear delay PDEs are also obtained. 相似文献
12.
We consider the existence and stability of traveling waves of a generalized Ostrovsky equation , where the nonlinearity satisfies a power-like scaling condition. We prove that there exist ground state solutions which minimize the action among all nontrivial solutions and use this variational characterization to study their stability. We also introduce a numerical method for computing ground states based on their variational properties. The class of nonlinearities considered includes sums and differences of distinct powers. 相似文献
13.
14.
15.
16.
We consider a reaction–diffusion–advection equation of the form: for , where is a -periodic function, is a -periodic Fisher–KPP type of nonlinearity with changing sign, is a free boundary satisfying the Stefan condition. We study the long time behavior of solutions and find that there are two critical numbers and with , and , such that a vanishing–spreading dichotomy result holds when ; a vanishing–transition–virtual spreading trichotomy result holds when ; all solutions vanish when or . 相似文献
17.
18.
19.