欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
利用平面动力系统理论对非线性Kakutani-Kawahara方程ut＋uux＋buxxx-a（ut＋uux）x=0（b〉0,a≥0）的行波解作了定性分析,得到了其有界行波解存在的条件,给出了在色散占优的情况下该方程的有界行波解不仅具振荡性而且还具衰减性的结论.进一步根据相图中解轨线的演化关系,利用假设待定法求出了该方程衰减振荡解的近似解.最后,根据齐次化原理的思想建立了反映所求衰减振荡近似解和精确解间关系的积分方程,从而得到了所求衰减振荡近似解与精确解间的误差估计,其误差是以指数形式速降的无穷小量.
英文摘要：
The Kakutani-Kawahara equation ut＋uux＋buxxx-a（ut＋uux）x=0（b0,a≥0）was considered.By using the theory of planar dynamical systems,its bounded traveling wave solutions was analysed to obtain the conditions for their existence.In dispersion-dominant case,it was found that the unique bounded traveling wave solution of the equation is of oscillatory and damped property.Furthermore,according to the evolution of orbits in the global phase portraits,an approximate damped oscillatory solution for this equation was presented by using the undetermined coefficients method.Finally,in accordance with the idea of homogenization principle,an integral equation which reflects the relation between the approximate solution and the exact damped oscillatory solution was provided and thereby the errorestimate was achieved.The error is an infinitesimal speedyly decreasing in exponential form.
同期刊论文项目
同项目期刊论文
Generalized Darboux transformation and rogue wave solutions for the higher-order dispersive nonlinea
Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on tim
Application of Improved (G '/G)-Expansion Method to Traveling Wave Solutions of Two Nonlinear Evolut
Shape analysis of bounded traveling wave solutions and solution to the generalized Whitham-Broer-Kau
Approximate Damped Oscillatory Solutions for Generalized KdV-Burgers Equation and Their Error Estima
Approximate Damped Oscillatory Solutions for Compound KdV-Burgers Equation and Their Error Estimates
期刊信息
位置：