نتیجه جستجو - Solitons

تعداد مقالات یافته شده: 10
ردیف عنوان نوع
1 Highly dispersive optical solitons with cubic law and cubic-quintic-septic law nonlinearities
سولیتون های نوری بسیار پراکنده با قانون مکعب و غیرخطی های قانون مکعب-کوئینتیک-سپتیک-2020
In this paper, the Kudryashov’s method and generalized tanh method (GTM) are employed to retrieve the new distinct optical solitons for highly dispersive NLSE. These two schemes effectively acquire the exact solution of the model in the form of dark, singular, singular periodic and bright-singular combo optical solitons. These solutions assist the mathematicians and physicians to realize the physical phenomena of present model. The solutions in presents work indicate that these schemes offer us an influential mathematical tools for solving NLSEs in various areas of applied sciences. In addition, the graphical illustrations of some solutions are also illustrated.
Keywords: Kudryashov’s method | Generalized tanh method | Cubic-quintic-septic law | Cubic law | Highly dispersive solitons
مقاله انگلیسی
2 Optical solitons and other solutions to the dual-mode nonlinear Schrödinger equation with Kerr law and dual power law nonlinearities
Solitons نوری و راه حل های دیگر برای معادله Schrödinger دو حالت غیرخطی با قانون Kerr و غیرخطی های قانون قدرت دوگانه-2020
In this article, we apply four insightful integration algorithms, namely, the tanh-coth method, the unified Riccati equation method, the modified simple equation method and the new extended auxiliary equation method for constructing new optical soliton solutions and other solutions to the dual-mode nonlinear Schrödinger equation with Kerr law and dual power law nonlinearities related to the optics. Many families of Jacobi elliptic solutions, dark, bright, singular soliton solutions and other solutions have been found.
Keywords: The tanh-coth method | The unified Riccati equation method | The modified simple equation method | The new extended auxiliary equation method | Dual-mode nonlinear Schrödingers equation | Optical soliton solutions
مقاله انگلیسی
3 New generalized ϕ6-model expansion method and its applications to the (3+1) dimensional resonant nonlinear Schrödinger equation with parabolic law nonlinearity
روش توسعه مدل جدید ϕ6 عمومی و برنامه های کاربردی آن در (3 + 1) معادله رزونانس بعدی غیرخطی Schrödinger با غیرخطی قانون پارابولیک-2020
In this paper, a new generalized ϕ6-model expansion method is proposed for the first time to construct optical solitons and other solutions of the (3+1) dimensional resonant nonlinear Schrödinger equation with parabolic law nonlinearity, which describes the propagation of optical pulse in nonlinear optical fibers. The generalized Jacobi elliptic function solutions and Weierstrass elliptic function solutions have been found. In particular, hyperbolic function solutions and periodic solutions are also obtained.
Keywords: New generalized ϕ6-model expansion method | New generalized Jacobi elliptic function | solutions and Weierstrass elliptic function | solutions | (3+1) dimensional resonant nonlinear | Schrödinger equation
مقاله انگلیسی
4 Cubic-quartic optical soliton perturbation having four laws non-linearity with a prolific integration algorithm
آشفتگی soliton نوری مکعب-کوارتریک با داشتن چهار قانون غیرخطی با الگوریتم ادغام پرکار-2020
New and novel solitons and other solutions to the cubic–quartic nonlinear Schrödingers equation in a non-Kerr law media with four laws of non-linearity namely, parabolic law, quadratic–cubic law, the non-local law and weak non-local law have been found in this article. The unified Riccati equation expansion method is applied in this paper. This equation governs the propagation of solitons through nonlinear optical fibers. This yields bright, dark, singular optical solitons and other solutions that are all presented along with their respective parameter restrictions.
مقاله انگلیسی
5 SOLITON PERTURBATION AND CONSERVATION LAWS IN MAGNETO–OPTIC WAVEGUIDES WITH PARABOLIC LAW NONLINEARITY
ساخت SOLITON و قوانين كنترل در موجبرهای مغناطیس نوری با غير قانوني پارابولوژي-2020
This paper secures bright and singular perturbed optical solitons in magneto–optic waveguides, having parabolic form of nonlinearity, with traveling wave hypothesis. The conservation laws are subsequently obtained by the multiplier approach and the three conserved quantities are finally listed.
Keywords: solitons | magneto–optic waveguide | parabolic law nonlinearity
مقاله انگلیسی
6 Optical solitons in fiber Bragg gratings having Kerr law of refractive index with extended Kudryashov’s method and new extended auxiliary equation approach
solitons نوری در توری های فیبر براگ با قانون ضریب شکست Kerr با روش کودریاشف گسترده و رویکرد جدید معادله کمکی توسعه یافته-2020
This paper reveals optical solitons and other solutions to fiber Bragg gratings with dispersive reflectivity having Kerr law of nonlinear refractive index. Bragg gratings are indeed a technological marvel that supplements chromatic dispersion when its count runs low. The extended Kudryashov’s method and new extended auxiliary equation method have been implemented. Chirped and chirp–free bright, dark and singular solitons, with dispersive reflectivity, are presented..
Keywords: Solitons | Bragg gratings | Chirp
مقاله انگلیسی
7 Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrödinger system in an inhomogeneous plasma
Lax pair، قوانین حفاظت ، تحول در داربوکس ، امواج نفس گیر و سرکش برای سیستم غیرخطی شرودینگر غیرمجاز همراه در یک پلاسما ناهمگن-2020
Plasmas are believed to be possibly “the most abundant form of ordinary matter in the Universe”. In this paper, a coupled nonautonomous nonlinear Schrödinger system is investigated, which describes the propagation of two envelope solitons in a weakly inhomogeneous plasma with the t -dependent linear and parabolic density profiles and nonconstant collisional damping. Lax pair with the nonisospectral pa- rameter and infinitely-many conservation laws are derived. Based on the Lax pair, the N th-step Darboux transformation is constructed. Utilizing the N th-step Darboux transformation, we obtain the breather and rogue wave solutions, and find that the amplitude of the nonzero background is nonconstant and depen- dent on the inhomogeneous coefficients in the system under investigation. Characteristics of the breathers and rogue waves are discussed, and effects of the inhomogeneous coefficients on the breathers and rogue waves are analyzed. Breathers and rogue waves with the dark or bright soliton together are also con- structed and their characteristics are discussed. We find that the dark and bright solitons can coexist and generate the breather-like waves.
Keywords: Inhomogeneous plasma | Coupled nonautonomous nonlinear | Schrödinger system | Lax pair | Conservation laws | Darboux transformation| Breathers and rogue waves
مقاله انگلیسی
8 Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma
تجزیه و تحلیل گروه دروغ ، سولیتون ها ، قوانین خودسنجی و حفاظت از معادله اصلاح شده زاخاروف-کوزنتسف در یک مگنتوپلاسما یونی الکترونی پوزیترون- یون-2020
Electron-positron-ion plasmas are found in the primordial Universe, active galactic nuclei, surroundings of black holes and peripheries of neutron stars. We focus our attention on a modified Zakharov-Kuznetsov (mZK) equation which describes the ion acoustic drift solitary waves in an electron-positron-ion mag- netoplasma. Lie symmetry generators and groups are presented by virtue of the Lie symmetry method. Optimal system of the one-dimensional subalgebras is presented, which is influenced via the ratio of the unperturbed ion density to electron density n io / n eo , the ratio of the unperturbed positron density to electron density n po / n eo , the ratio of the electron temperature to positron temperature T e / T p and the nor- malized ion drift velocity v ∗o . Based on the optimal system, we construct the power-series, multi-soliton, breather-like and periodic-wave solutions. Two types of the elastic interactions, including the overtaking and head-on interactions between (among) two (three) solitons are discussed. We find that the ampli- tudes of the solitons and periodic waves are positively related to the electron Debye length λDe and negatively related to | ρi | with ρi as the ion Larmor radius. Besides, we find that the mZK equation is not only strictly self-adjoint but also nonlinearly self-adjoint. Condition for the nonlinear self-adjointness is related to n io / n eo , n po / n eo , T e / T p and v ∗o . Based on the nonlinear self-adjointness of the mZK equation, conservation laws, which are related to n io / n eo , n po / n eo , T e / T p , v ∗o , λDe , ρi and may be associated with the conservation of momentum and energy, are obtained.
Keywords: Electron-positron-ion magnetoplasma | Modified Zakharov-Kuznetsov equation | Lie group analysis | Solitons | Conservation law
مقاله انگلیسی
9 Travelling and standing envelope solitons in discrete non-linear cyclic structures
مسافران و پوشش ایستادن سالیتون در ساختارهای حلقوی غیر خطی گسسته-2016
Envelope solitons are demonstrated to exist in non-linear discrete structures with cyclic symmetry. The analysis is based on the Non-Linear Schrodinger Equation for the weakly non-linear limit, and on numerical simulation of the fully non-linear equations for larger amplitudes. Envelope solitons exist for parameters in which the wave equation is focussing and they have the form of shape-conserving wave packages propagating roughly with group velocity. For the limit of maximum wave number, where the group velocity vanishes, standing wave packages result and can be linked via a bifurcation to the non-localised non-linear normal modes. Numerical applications are carried out on a simple discrete system with cyclic symmetry which can be seen as a reduced model of a bladed disk as found in turbo-machinery.& 2016 Elsevier Ltd. All rights reserved.
Keywords: Non-linear dynamics | Cyclic system | Travelling waves | Envelope soliton | Multiple scales
مقاله انگلیسی
10 حمایت گرافین از تکثیر سولیتون های نوری زیر طول موج
سال انتشار: 2012 - تعداد صفحات فایل pdf انگلیسی: 5 - تعداد صفحات فایل doc فارسی: 14
در این مطالعه تکثیر غیرخطی نور در بک لایه گرافینی از لحاظ نظری بررسی خواهیم کرد. ما نشان خواهیم داد که غیرخطی بودن ذاتی زیاد گرافین در فراکانس های اپتیکال منجر به شکل گیری پرتوهای خود هدایت یافتۀ شبه تک بعدی (سولیتون های فضایی) عرض طول موج فرعی در پیک شدت میدان الکتریکی نسبی را نمایان می کند می شود. ما علاوه براین طبقۀ جدیدی از سبک های جامع ناشی از هیبریدشدگی پلاریتون های پلاسمون سطح با سولیتون های اپتیکال گرافین را نشان خواهیم داد. کشف تجربی و جداسازی تک لایه های گرافین از گرافیت حجیم توجهات زیادی را در سال های اخیر به خود جلب کرده است. مطالعۀ خواص گرافین موضوع داغ تحقیقات علم فیزیک و جوامع نانو بوده است. تعداد زیادی از قابلیت های اپتیکال غیرخطی مطابق با تولید هادمونیک متعدد از لحاظ تجربی پیش بینی شد و از لحاظ تجربی در مورد تأثیرات غیرخطی دسته سوم به تازگی ثابت شده است. با این حال این سئوال بی پاسخ هنوز وجود دارد که آیا ضرب غیرخطی بالا که در سیستم دو بعدی (2D) وجود دارد می تواند باعث تأثیرات غیرخطی قوی در سبک های الکترومغناطیسی (EM) که به سه بعد فضایی سبط می دهند می شوند.
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