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A nontraveling wave solution of a generalized Vakhnenko equation arising from the high-frequent wave motion in a relaxing medium is derived via the extended Riccati mapping method. The solution includes an arbitrary function of an independent variable. Based on the solution, two hyperbolic functions are chosen to construct new solitons. Novel single-loop-like and double-loop-like solitons are found for the equation. 相似文献
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FundamentalSolutionforOperatorLmontheHeisenbergGroupHnMaYulan(马玉兰)(DepartmentofMathematics,LanzhouUniversity,Lanzhou,Gansu,73... 相似文献
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The fracture problems near the similar orthotropic composite materials are interface crack tip for mode Ⅱ of double disstudied. The mechanical models of interface crack for mode Ⅱ are given. By translating the governing equations into the generalized hi-harmonic equations, the stress functions containing two stress singularity exponents are derived with the help of a complex function method. Based on the boundary conditions, a system of non-homogeneous linear equations is found. Two real stress singularity exponents are determined be solving this system under appropriate conditions about bimaterial engineering parameters. According to the uniqueness theorem of limit, both the formulae of stress intensity factors and theoretical solutions of stress field near the interface crack tip are derived. When the two orthotropic materials are the same, the stress singularity exponents, stress intensity factors and stresses for mode II crack of the orthotropic single material are obtained. 相似文献
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该文给出海森保群Hn上偏微分算子的显式基本解um,据此um,研究算子的可解性和亚椭圆性. 相似文献
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通过引入并扩展 (G′/G)展开法, 构造出(2+1)维非对称Nizhnik-Novikov-Veselov系统的三种形式的新精确通解: 双曲函数通解, 三角函数通解, 有理函数通解. 当双曲函数通解中的常数取特定值时, 通解变为相应孤立波解.
关键词:
G′/G)展开法')" href="#">(G′/G)展开法
(2+1)维非对称Nizhnik-Novikov-Veselov系统
精确解
孤立波解 相似文献
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<正> 照相复制光学分划零件的精度在很大程度上依赖于照相底版的质量,因此制造高质量的照相底版是照相复制光学分划零件的关键。我厂某产品分划零件采用照相复制腐蚀法制作。此分划图形为不等角度相间的九条对数曲线(图1),分度精度要求较高,曲线又十分特殊。如用绘制放大图制版,难以保证曲线的精度和角度误差。若利用数控设备刻图或绘图后进行照相制版虽比较理想,但目前我国这 相似文献
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对受纯扭载荷作用的线弹性正交异性复合材料板裂纹尖端附近的断裂性态进行探讨。利用复变函数方法,通过求解偏微分方程的边值问题,推出了裂纹尖端附近的弯矩、扭矩、应力和位移的表达式,最后给出了数值算例。 相似文献