In this paper,a systematic direct perturbation method of dark solitons is found.Having analyzed the mistakes in earlier works on perturbation method for dark solitonsand essence of the direct perturbation method for bright solitons,we notice that to in-troduce the adjoint solutions of the squared Jost solutions and to prove the completenessare crucial to the problem.Giving up the unnecessary scheme of introducing the adjointoperator in the bright soliton case,we directly find the adjoint solutions by meetingthe demand for the orthogonality that inner product of the squared Jost solutions andits adjoint should be proportional to a δ function in the case of continuous spectra.The corresponding adjoint operator is thus found.Taking into account the reductiontransformation,we find a correct description for the completeness of the squared Jostsolutions and directly verify its validity with explicit expressions of the squared Jostsolutions.

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他年逾七旬雖"僵臥孤村"，但壯志未泯插插插射射射，夢(mèng)中猶思戰(zhàn)斗在"鐵馬冰河"的前線夜色樱花网站，其收復(fù)失地之心躍然紙上，可惜終未等到"北定中原"的捷報(bào)含恨而死久久精品国产2020超碰。

The interactions between two semifolded solitons are elastic,while the interactions among other nonlinear multivalued and single valued excitation patterns such as the interactions between semifolded soliton and single valued localized soliton,semifolded soliton and folded soliton,and the interaction among semifolded soltion,folded soliton and single valued localized solitons,are nonelastic generally,which reveal different exotic and important nonlinear mechanical properties.

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By means of the undetermined coefficient method ,which is submitted in reference for solving nonlinear wave equations for their peaked soliton solutions ,three kinds of peaked soliton solutions are obtained for two important nonlinear wave equations— Korteweg-de Vries equation and Benjamin-Bona-Mahonyequation,respectively. One kind of peaked compacton solution ,which has the characteristics of both peaked soliton solution and compacton solution ,is obtained for above two equations with the aid of transformation relation between triangle function and hyperbolic function,. By use of above solutions, two kinds of periodic peaked traveling wave solutions are constructed.

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The repulsions and the energy transferring will are increasing with the varying of the temperature for the -phase-difference solitons.

結(jié)果表明：在室溫基礎(chǔ)上黄色AⅤ，兩個(gè)同相位孤子波的相互作用隨溫度變化伴有融合現(xiàn)象天天黄色视频入口，當(dāng)溫度升高到350K時(shí)兩孤子可融合成一束穩(wěn)定的孤子波；兩個(gè)反相孤子相互排斥現(xiàn)象隨溫度變化而增強(qiáng)18岁网站。；相位差為的兩孤子插逼网址，其相互作用隨溫度變化過程中有更多的能量轉(zhuǎn)移，同時(shí)兩孤子間的排斥現(xiàn)象隨溫度變化而增強(qiáng)久久国产综合精品久久国产。

For example, it have not been pointed out whether the wavelength of signal light beams would effect the time of quasi-steady solitons; it have not been noticed that the electric field preserved in crystal might effect on forming photovoltaic solitons; it have not been reported the action of background light beams in forming screening-photovoltaic solitons and whether it can form polychromatic SPS, and so on.

例如準(zhǔn)穩(wěn)態(tài)孤子的形成過程中探測(cè)信號(hào)光的波長(zhǎng)對(duì)孤子存在時(shí)間的影響亚洲国产精品一区二区玖玖爱；光折變晶體中原先駐留的內(nèi)電場(chǎng)對(duì)形成光伏孤子的影響；背景光在形成屏蔽-光伏孤子中所起的作用以及復(fù)色光能否形成屏蔽-光伏孤子等等都未進(jìn)行研究久久无码中文字幕久婷婷。