典型文献
Global Existence and Uniqueness of Periodic Waves for a Perturbed Combined Double-Dispersive Equation
文献摘要：
In this paper,we study the periodic wave propagation phenomenon in elastic waveguides modeled by a combined double-dispersive partial differential equation(PDE).The traveling wave ansazt transforms the PDE model into a perturbed integrable ordinary differential equation(ODE).The global bifurcation theory is applied for the perturbed ODE model to establish the existence and uniqueness of the limit cycle,which corresponds the periodic traveling wave for the PDE model.The main tool is the Abelian integral taken from Poincaré bifurcation theory.Simulation is carried out to verify the theoretical result.
文献关键词：
中图分类号：
作者姓名：
LIAO Xiao-zhao;HUANG Wen-tao;YANG Su-min
作者机构：
School of Mathematics and Statistics,Guangxi Normal University,Guilin 541006,China;School of Public Administration,Guangxi Technological College of Machinery and Electrcity,Nanning 530007,China
文献出处：
引用格式：
[1]LIAO Xiao-zhao;HUANG Wen-tao;YANG Su-min-.Global Existence and Uniqueness of Periodic Waves for a Perturbed Combined Double-Dispersive Equation)[J].数学季刊（英文版）,2022(02):124-131
A类：
ansazt
B类：
Global,Existence,Uniqueness,Periodic,Waves,Perturbed,Combined,Double,Dispersive,Equation,In,this,paper,we,study,periodic,propagation,phenomenon,elastic,waveguides,modeled,by,combined,double,dispersive,partial,differential,equation,PDE,traveling,transforms,into,perturbed,integrable,ordinary,ODE,global,bifurcation,theory,applied,establish,existence,uniqueness,limit,cycle,which,corresponds,main,tool,Abelian,integral,taken,from,Poincar,Simulation,carried,out,verify,theoretical,result
AB值：
0.677934
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