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COMPLETENESS OF THE JOST SOLUTIONS IN THE CASE OF THE NLS+ EQUATION WITH NONVANISHING BOUNDARY CONDITION
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In the case of the NLS+ equation with nonvanishing boundary condition, a complete set of the Jost solutions is chosen, and its completeness is shown by means of the Marchenko inverse scattering equation. 相似文献
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For the NLS+ equation under nonvanishing boundary condition, to avoid complexity due to Riemann surface, required for double-valued function of the usual spectral parameter, starting from a particular auxiliary spectral parameter, a special inverse scattering method is systematically developed, and explicit expressions of the general multi-soliton solutions are successfully obtained. Asymptotic behaviors of the muiti-soliton solutions, additional displacement of center and additional phase shift of the peak are derived. When the boundary value approaches zero, all the formulas become the known ones naturally. 相似文献
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《Journal of Nonlinear Mathematical Physics》2013,20(1):119-135
Using the Inverse Scattering Method with a nonvanishing boundary condition, we obtain an explicit breather solution with nonzero vacuum parameter b of the focusing modified Korteweg–de Vries (mKdV) equation. Moreover, taking the limiting case of zero frequency, we obtain a generalization of the double pole solution introduced by M. Wadati et al. 相似文献
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For the NLS+ equation under nonvanishing boundary condition, to avoid complexity due to Riemann surface, required for double-valued function of the usual spectral parameter, starting from a particular auxiliary spectral parameter, a special inverse scattering method is systematically developed, and explicit expressions of the general multi-soliton solutions are successfully obtained. Asymptotic behaviors of the muiti-soliton solutions, additional displacement of center and additional phase shift of the peak are derived. When the boundary value approaches zero, all the formulas become the known ones naturally. 相似文献
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本文应用最近发展的离子输运双群模型计算了氢,氘和氚离子在固体表面的反射系数。与有关的实验资料和Monte-Carlo计算比较表明,双群模型所取得的结果是合理的、可用的。同时也表明了双群模型有可能成为研究离子在固体表面反射的有效的理论方法。
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为将优化控制技巧用于复杂的地球物理环流模型及其它领域,以Burgers方程为模型,描述了初边值条件的优化控制.在一般化的意义上,给出了连续问题及其相应的离散形式.引入伴随变量,并由此导出伴随方程.比较初始控制中不同频率误差对优化控制的影响,分析了用有限观测数据作空间插值后的数据、方法的优化控制能力及效果,并进行了数值实验. 相似文献
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THE EXACT SOLUTIONS OF THE BURGERS EQUATION AND HIGHER-ORDER BURGERS EQUATION IN (2+1) DIMENSIONS
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Some exact solutions of the Burgers equation and higher-order Burgers equation in (2+1) dimensions are obtained by using the extended homogeneous balance method. In these solutions there are solitary wave solutions, close formal solutions for the initial value problems of the Burgers equation and higher-order Burgers equation, and also infinitely many rational function solutions. All of the solutions contain some arbitrary functions that may be related to the symmetry properties of the Burgers equation and the higher-order Burgers equation in (2+1) dimensions. 相似文献
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本文以Cr3+自由离子的3d电子径向波函数为基础,对Cr3+:Al2O3中的电子云延伸效应进行了理论研究,引入了电子云延伸效应系数κ,得到了Cr3+:Al2O3中Cr3+离子的最优化3d电子径向波函数.并研究了压力对电子云延伸效应系数κ的影响. 相似文献
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LI Yuan-Jie 《中国物理C(英文版)》1989,13(8):701-705
In this paper the radial solutions of the Dirac equation in a metric with spheroidal symmetry are given.It is shown that there exists no quantum bound states of Fermions about the Schwarzschild black hole.Some cases are discussed,one is a soliton wave of the temporal state,which provides a new insight for checking the existence of a black hole,the other is a solution of the stationary state which describes the accretion and vaporization of the black hole. 相似文献
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根据非均匀网格中一阶和二阶中心差分的精度,讨论了线性平流方程和扩散方程的解。非均匀网格的主要影响有二:一是造成同一波长的谐波在各点的视在波长不同;二是与均匀网格相比,一阶中心差分产生附加的实部,二阶中心差分出现附加的虚部。这种空间差分的误差使平流方程的解成为一调幅移行波,而使扩散方程的解带有平流误差。克服的方法可在平流方程中附加一人工粘性项,在扩散方程中附加一平流项。 相似文献
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以噻吩为单体,在等离子体环境中聚合成致密的有机膜。利用Rutherford背散射(RB2S)和质子弹性反冲(ERD)、傅里叶红外谱(FTIR)测定了膜的成分和结构;从近红外-可见-紫外光的反射和透射谱,运用传递矩阵方法研究了膜的光学性质;此外,还探讨了24keV的I+离子束的注入对等离子体噻吩聚合膜的掺杂效应。结果表明,注入层内电荷载流子的输运机理可用Mott的可变自由程跳跃(VRH)理论给以解释。
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本文对用Co2+-Ti4+和Cu2+-Nb5+离子取代BaFe12O19单晶体中Fe3+离子进行了研究,以Bi2O3作为助熔剂生长出了BaFe12-2xCox2+Tix4+O19(x=0;0.04;0.09;0.13;0.27和0.68)以及BaFe12-x[Nb1/35+Cu2/32+]xO19(x=0;0.28;0.44和0.60)这两系列的单晶体,测定了100—300K温度范围内样品的磁化强度σ与单轴各向异性常数K1,我们发现,对Co2+-Ti4+取代的样品,当x≤0.09时,其σ与K1随x的增加而缓慢增加;当x>0.09时,其σ与K1随x的增加而迅速降低,至x=1.1时,K1变为零,对Nb5+-Cu2+取代的样品,其σ值在整个成份范围内基本保持不变,且有缓慢增加趋势;而K1值则随x增加而单调下降,提出了取代离子在M型六角铁氧体中可能的分布模型来解释我们的结果。
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