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1.
Traveling wave solutions for two nonlinear evolution equations with nonlinear terms of any order
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In this paper, based on the known first integral method and the Riccati sub-ordinary differential equation (ODE) method, we try to seek the exact solutions of the general Gardner equation and the general Benjamin-Bona-Mahoney equation. As a result, some traveling wave solutions for the two nonlinear equations are established successfully. Also we make a comparison between the two methods. It turns out that the Riccati sub-ODE method is more effective than the first integral method in handling the proposed problems, and more general solutions are constructed by the Riccati sub-ODE method. 相似文献
2.
Traveling wave solutions for two nonlinear evolution equations with nonlinear terms of any order
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In this paper, based on the known first integral method and the Riccati sub-ordinary differential equation (ODE) method, we try to seek the exact solutions of the general Gardner equation and the general Benjamin-Bona-Mahoney equation. As a result, some traveling wave solutions for the two nonlinear equations are established successfully. Also we make a comparison between the two methods. It turns out that the Riccati sub-ODE method is more effective than the first integral method in handling the proposed problems, and more general solutions are constructed by the Riccati sub-ODE method. 相似文献
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本文研究一类带有非线性发病率、新生儿垂直传播、疫苗接种及治疗能力的SIRS传染病模型的动力学行为,该模型充分考虑了医疗资源的局限性,可用医疗资源的供应效率,当感染的数量低于容量时,治疗率与感染的数量成正比,而当感染数量达到容量时,治疗率为常数.在一定条件下,证明了该模型存在后向分支,这意味着边界平衡点与一个正平衡点共存.在这种情况下,控制基本再生数R0小于1不足以控制和根除这种疾病,需要采取额外的措施来确保其解趋近于边界平衡点.当基本再生数R0大于1时,由于治疗、疫苗接种、免疫损失和其他参数的影响,该模型可能存在多个正平衡点.本文分析了该模型平衡点的存在性和稳定性,得到了Hopf分支以及BT分支的存在性,进而发现不稳定极限环及同宿轨道的存在性,并且通过数值模拟来验证所得结果. 相似文献
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研究了二阶非线性时滞差分方程△(α_n(△(x_n+p_nx_(n-r)))~γ)+bn(△(x_n+p_nx_(n-T)))~γ+f(n,x_(n-σ))=0给出方程振动的充分条件,推广和改进了中立时滞差分方程的许多结果. 相似文献
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主要目的是将Mate-Nevai型积分不等式推广到非线性情形,得到了两个具有广泛意义的Mate-Nevai型非线性积分不等式,利用所得结论讨论某些积分方程解的有界性. 相似文献
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孟凡伟 《应用数学学报(英文版)》1997,(4)
ThemainpurposeofthispaperistoextendandimprovesomeoftheresultsofSighandKusano[4]forequationtothefollowingmoregeneraldifferentialequationoftheformwheren32andL0x(t)=x(t),LKx(t)=1≤k≤n.pi,gandf:[a,∞)→RandH:[a,∞)xRn→Rarecontinuousfunctionswithpi(t)>0,1≤i≤(n-1),pn(t)=1,andg(t)→∞ast→∞.ThedomainD(L.)ofL,,isdefinedtobethesetofallfunctionsx:[Tx,co)-RsuchthatLix(t),05i5nexistandarecontinuouson[Tx,co).Inwhatfollowsbyasolutionof(2)wemeanthatafunctionxED(L.)whichsatisfies(2)forallsufficien… 相似文献
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大孔树脂对磺酸类化合物吸附行为的研究 总被引:9,自引:0,他引:9
用4种大孔树脂ND-022,ND-900,NDA-99和NDA-100作为吸附剂,分别对水溶液中甲基磺酸钠、苯磺酸钠、对甲基苯磺酸钠和2-萘磺酸钠等磺酸盐进行吸附.探讨了溶液的初始pH值对不同类型树脂吸附磺酸类物质的影响,并通过动态吸附实验研究了SO4^2-对树脂吸附磺酸盐的影响.实验结果表明,复合功能树脂NDA-99对磺酸类化合物具有良好的吸附性能,且其选择性优于弱碱树脂ND-900,这为进一步研究大孔树脂对磺酸类物质的吸附机理和实际工业应用提供了一定的理论依据。 相似文献
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RESEARCHANNOUNCEMENTSOscillationofSecondOrderMatrixDifferentialSystemsMengFanwei(孟凡伟)(Dept.ofMath.,QufuNormalUniversity),Shan... 相似文献
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二阶非线性微分议程解的平方可积性与有界性(英文) 总被引:2,自引:0,他引:2
1 IntroductionIn this paPer, we consider the second order nonlinear differential equationwhere r(t) > 0 fOr t E [a, oo) and r(t) is absolutely continuous on [a, oc), p, q1and q2 are real functions defined on [a, oo) and f is a real function defined on[a, oo) x (--oc, oo) which satisfieswhere 0 S cr S 1, g(t) 2 0 and h(t) 2 0 for t E [a, oo).The behaviors of quadratic integrability and boundedness fOr some moreparticular forms of equation (l) such as have been studied (see [1--4]). And many … 相似文献