典型文献
Solitary Wave Solutions of Delayed Coupled Higgs Field Equation
文献摘要：
This paper is devoted to the study of the solitary wave solutions for the delayed coupled Higgs field equation{utt-uxx-au+βf*u|u|2-2uv-τu(|u|2)x=0,vtt+vxx β(|u|2)xx=0.We first establish the existence of solitary wave solutions for the corresponding equation without delay and perturbation by using the Hamiltonian system method.Then we consider the persistence of solitary wave solutions of the delayed coupled Higgs field equation by using the method of dynamical system,especially the geometric singular perturbation theory,invariant manifold theory and Fredholm theory.According to the relationship between solitary wave and homoclinic orbit,the coupled Higgs field equation is transformed into the ordinary differential equations with fast variables by using the variable substitution.It is proved that the equations with perturbation also possess homoclinic orbit,and thus we obtain the existence of solitary wave solutions of the delayed coupled Higgs field equation.
文献关键词：
中图分类号：
作者姓名：
Shu Guan JI;Xiao Wan LI
作者机构：
School of Mathematics and Statistics,and Center for Mathematics and Interdisciplinary Sciences,Northeast Normal University,Changchun 130024,P.R.China;School of Mathematics,Jilin University,Changchun 130012,P.R.China;College of Mathematics and System Science,Xinjiang University,Urumqi 830046,P.R.China
文献出处：
引用格式：
[1]Shu Guan JI;Xiao Wan LI-.Solitary Wave Solutions of Delayed Coupled Higgs Field Equation)[J].数学学报（英文版）,2022(01):97-106
A类：
uxx,au+,2uv,vtt+vxx
B类：
Solitary,Wave,Solutions,Delayed,Coupled,Higgs,Field,Equation,This,paper,devoted,study,solitary,wave,solutions,delayed,coupled,field,utt,We,first,establish,existence,corresponding,without,perturbation,by,using,Hamiltonian,system,method,Then,consider,persistence,dynamical,especially,geometric,singular,theory,invariant,manifold,Fredholm,According,relationship,between,homoclinic,orbit,transformed,into,ordinary,differential,equations,fast,variables,substitution,It,proved,that,also,possess,thus,obtain
AB值：
0.46611
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