共查询到20条相似文献,搜索用时 62 毫秒
1.
ESSENTIALLYNORMAL+SMALLCOMPAC=STRONGLYIRREDUCIBLEJIJOUQING*JANGCHUNLAN*WANGZONGYAO**AbstractGivenanessentialynormaloperatorTw... 相似文献
2.
Zhang Xiang 《数学年刊B辑(英文版)》1997,18(4):429-434
ONTWOCONJECTURESOFTHEQUADRATICDIFFERENTIALSYSTEMSZHANGXIANG*AbstractManuscriptreceivedSeptember29,1995.*InstituteofMathematic... 相似文献
3.
ALMOSTPERIODICSOLUTIONSOFLINEARDIFFERENTIALEQUATIONSWITHPIECEWISECONSTANTARGUMENTYUANRONGHONGJIALINManuscriptreceivedJu... 相似文献
4.
ANIMPROVEMENTOFARESULTOFIVOCHKINAANDLADYZHENSKAYAONATYPEOFPARABOLICMONGE┐AMPEREEQUATIONWANGROUHUAI*WANGGUANGLI*AbstractManusc... 相似文献
5.
ON Δ-GOOD MODULE CATEGORIES OF QUASI-HEREDITARY ALGEBRAS 总被引:2,自引:0,他引:2
ONΔ┐GOODMODULECATEGORIESOFQUASI┐HEREDITARYALGEBRAS**DENGBANGMING*XICHANGCHANG*ManuscriptreceivedJune12,1995.RevisedMay3,1996.... 相似文献
6.
SINGULARBOUNDARYPROPERTIESOFHARMONICFUNCTIONSANDFRACTALANALYSISWENZHIYINGZHANGYIPINGManuscriptreceivedJanuary11,1995.Revi... 相似文献
7.
《高校应用数学学报(英文版)》1995,(1)
APDEPROBLEMARSINGFROMCALCULATIONOFTHEMODELFORCONTINUOUSCASTINGOFSTEEL¥JIANGLISHANG;LIUZUHAN;YIFAHUAI;ANDYUEXINGYEAbstract:Thi... 相似文献
8.
Zha Jianguo 《数学年刊B辑(英文版)》1995,16(4):479-488
ANEMBEDDINGTHEOREMBETWEENSPECIALLINEARGROUPSOVERANYFIELDS¥ZHAJIANGUO(DepartmelltofAppliedMathematics,TongjiUniversity,Shangha... 相似文献
9.
Yu Jianshe 《数学年刊B辑(英文版)》1997,18(4):449-456
ASYMPTOTICSTABILITYFORACLASSOFNONAUTONOMOUSNEUTRALDIFFERENTIALEQUATIONS**YUJIANSHE*ManuscriptreceivedJuly4,1995.RevisedMarch2... 相似文献
10.
THESUBDIVISIONALGORITHMFORGENERATINGCURVESANDITSPROPERTIESWUZONGMIN;YEQINGANDLIUJIANPINAbstract:IntheapplicationofCAD/CAM,the... 相似文献
11.
《Communications in Nonlinear Science & Numerical Simulation》2011,16(6):2445-2455
The Bäcklund transformations and abundant explicit exact solutions to the AKNS shallow water wave equation are obtained by combining the extended homogeneous balance method with the extended hyperbolic function method. The solutions obtained admit of multiple arbitrary parameters. These solutions include (a) a compound of the rational fractional function and a linear function, (b) a compound of solitary wave solution and a linear function, (c) a compound of the singular travelling wave solutions and a linear function, and (d) a compound of the periodic wave solutions of triangle function and a linear function. In special cases, we can obtain a series of soliton solutions, singular travelling wave solutions, periodic travelling wave solutions, and rational fractional function solution. In addition to re-deriving some known solutions in a systematic way, some brand-new exact solutions are also established. 相似文献
12.
《Chaos, solitons, and fractals》2003,15(3):559-566
A new algebraic method is devised to uniformly construct a series of new travelling wave solutions for two variant Boussinesq equations. The solutions obtained in this paper include soliton solutions, rational solutions, triangular periodic solutions, Jacobi and Weierstrass doubly periodic wave solutions. Among them, the Jacobi elliptic periodic wave solutions exactly degenerate to the soliton solutions at a certain limit condition. Compared with most existing tanh methods, the proposed method gives new and more general solutions. More importantly, the method provides a guideline to classify the various types of the solution according to some parameters. 相似文献
13.
《Communications in Nonlinear Science & Numerical Simulation》2014,19(6):1669-1674
We obtain closed-form exact solutions to the 1 + 1 Born–Infeld equation arising in nonlinear electrodynamics. In particular, we obtain general traveling wave solutions of one wave variable, solutions of two wave variables, similarity solutions, multiplicatively separable solutions, and additively separable solutions. Then, putting the Born–Infeld model into correspondence with the minimal surface equation using a Wick rotation, we are able to construct complex helicoid solutions, transformed catenoid solutions, and complex analogues of Scherk’s first and second surfaces. Some of the obtained solutions are new, whereas others are generalizations of solutions in the literature. These exact solutions demonstrate the fact that solutions to the Born–Infeld model can exhibit a variety of behaviors. Exploiting the integrability of the Born–Infeld equation, the solutions are constructed elegantly, without the need for complicated analytical algorithms. 相似文献
14.
The multiple exact solutions for the nonlinear evolution equations describing the interaction of laser–plasma are developed. The extended hyperbolic function method are employed to reveal these new solutions. The solutions include that of the solitary wave solutions of bell-type for n and E, the solitary wave solutions of kink-type for E and bell-type for n, the solitary wave solutions of a compound of the bell-type and the kink-type for n and E, the singular traveling wave solutions, periodic traveling wave solutions of triangle function types, and solitary wave solutions of rational function types. In addition to re-deriving all known solutions in a systematic way, several new and more general solutions can be obtained by using our method. 相似文献
15.
《Chaos, solitons, and fractals》2005,23(2):391-398
An algebraic method is applied to construct soliton solutions, doubly periodic solutions and a range of other solutions of physical interest for two high-dimensional nonlinear evolution equations. Among them, the Jacobi elliptic periodic solutions exactly degenerate to the solutions at a certain limit condition. Compared with most existing tanh methods, the proposed method gives new and more general solutions. More importantly, the method provides a guideline to classify the various types of the solutions according to some parameters. 相似文献
16.
17.
Jing Wang 《Applied mathematics and computation》2010,217(4):1652-1657
In this letter, a new Riccati equation expansion method is presented for constructing exact travelling-wave solutions of nonlinear partial differential equations. The main idea of this method is to take full advantage of the solutions of the Riccati equation to construct exact travelling-wave solutions of nonlinear partial differential equations. As a result, some more generalized solutions, which contain triangular periodic solutions, exp function solutions and the soliton-like solutions, are obtained. 相似文献
18.
In this paper, a series of abundant exact travelling wave solutions is established for a modified generalized Vakhnenko equation by using auxiliary equation method. These solutions can be expressed by Jacobi elliptic function. When Jacobi elliptic functions modulus m→1 or 0, the travelling wave solutions degenerate to four types of solutions, namely, the soliton solutions, the hyperbolic function solutions, the trigonometric function solutions, constant solutions. 相似文献
19.
张平 《数学的实践与认识》2009,39(7)
应用改进的Fan's代数方法,得到了KK方程和改进的Boussinesq方程的一系列新精确解,包括孤立波解、类孤立波解、纽结波解、奇异纽结波解和三角函数周期解. 相似文献
20.
New double Wronskian solutions of the AKNS equation 总被引:2,自引:0,他引:2
Soliton solutions, rational solutions, Matveev solutions, complexitons and interaction solutions of the AKNS equation are derived through a matrix method for constructing double Wronskian entries. The latter three solutions are novel. Moreover, rational solutions of the nonlinear Schrodinger equation are obtained by reduction. 相似文献