This paper investigates a reaction-advection-diffusion equation with double free boundaries.The stationary solution of the system is studied by phase plane analysis.Then,the scale logarithm change sequence method is i...This paper investigates a reaction-advection-diffusion equation with double free boundaries.The stationary solution of the system is studied by phase plane analysis.Then,the scale logarithm change sequence method is introduced to show the exact heteroclinic of the system with corresponding parameters.Moreover,a complete description of the types of traveling wave solutions is given with different advection term coefficients.展开更多
Finite-amplitude supernonlinear electron-acoustic waves(EAWs)are investigated under the nonlinear Schrödinger(NLS)equation in a plasma system that is composed of cold electronfluid,immobile ions and q-nonextensiv...Finite-amplitude supernonlinear electron-acoustic waves(EAWs)are investigated under the nonlinear Schrödinger(NLS)equation in a plasma system that is composed of cold electronfluid,immobile ions and q-nonextensive hot electrons.Using the wave transfiguration,the NLS equation is deduced in a dynamical system.The presence of finite-amplitude nonlinear and supernonlinear EAWs is shown by phase plane analysis.The effects of the nonextensive parameter(q)and the speed of waves(v)on different traveling wave solutions of EAWs are presented.Furthermore,by introducing a small external periodic force in the dynamical system,multistability behaviors of EAWs under the NLS equation are shown for the first time in classical plasmas.展开更多
文摘This paper investigates a reaction-advection-diffusion equation with double free boundaries.The stationary solution of the system is studied by phase plane analysis.Then,the scale logarithm change sequence method is introduced to show the exact heteroclinic of the system with corresponding parameters.Moreover,a complete description of the types of traveling wave solutions is given with different advection term coefficients.
文摘Finite-amplitude supernonlinear electron-acoustic waves(EAWs)are investigated under the nonlinear Schrödinger(NLS)equation in a plasma system that is composed of cold electronfluid,immobile ions and q-nonextensive hot electrons.Using the wave transfiguration,the NLS equation is deduced in a dynamical system.The presence of finite-amplitude nonlinear and supernonlinear EAWs is shown by phase plane analysis.The effects of the nonextensive parameter(q)and the speed of waves(v)on different traveling wave solutions of EAWs are presented.Furthermore,by introducing a small external periodic force in the dynamical system,multistability behaviors of EAWs under the NLS equation are shown for the first time in classical plasmas.
