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[PDF] Top 20 Nonlinear Physics in Soliton Microcombs

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Nonlinear Physics in Soliton Microcombs

Nonlinear Physics in Soliton Microcombs

... of soliton formation corresponding to the scan in panel ...Four soliton trajectories are labeled and fold-back into the cavity coordi- nate ...(e) Soliton intensity patterns measured at four moments ... See full document

194

Multiple soliton solutions and a generalized double Wronskian determinant to the \((2+1)\) dimensional nonlinear Schrödinger equations

Multiple soliton solutions and a generalized double Wronskian determinant to the \((2+1)\) dimensional nonlinear Schrödinger equations

... in nonlinear optical fibers and of surface gravity waves in fluid dynamics ...complex nonlinear phenomena of our realistic world, some generalizations of the widely used ( + )-dimensional ...plasma ... See full document

10

Spatial Disorder of Soliton Solutions for 2D Nonlinear Schr¨odinger Lattices

Spatial Disorder of Soliton Solutions for 2D Nonlinear Schr¨odinger Lattices

... of physics, including condensed matter, hydrodynamics, optics, plasmas, and Bose-Einstein condensates (BECs) (see ...discrete nonlinear systems such as optical fibers [5], [6], small molecules such as ... See full document

6

Bright and Singular Soliton Solutions of Tzitzéica Type Equations Appear in Nonlinear Optics

Bright and Singular Soliton Solutions of Tzitzéica Type Equations Appear in Nonlinear Optics

... mathematics, physics and many engineering ...solving nonlinear evolution equations, are: The ansatz [16–18], modified simple equation [19], the first integral [20,21], ( G G 0 )-expansion [22], sine-Gordon ... See full document

12

Nonlinear Spinor Field Equations in Gravitational Theory: Spherical Symmetric Soliton Like Solutions

Nonlinear Spinor Field Equations in Gravitational Theory: Spherical Symmetric Soliton Like Solutions

... All these activities, diverse and complementary, made in this field [1-14], are also mainly motivated by the wide roles of Einstein and Dirac equations in modern physics, for example, for investigating the spin ... See full document

8

Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications

Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications

... The nonlinear partial differential equations (NPDEs) are widely used to describe many important phenomena and dynamic processes in physics, chemistry, biology, fluid dynamics, plasma, optical fibers and ... See full document

13

Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics

Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics

... of nonlinear physics, especially in soliton ...under nonlinear interac- tion and plays an important role in scientifically explaining the physical ...plasma physics, optical fibers, solid ... See full document

15

Exact spatiotemporal soliton solutions to the generalized three dimensional nonlinear Schrödinger equation in optical fiber communication

Exact spatiotemporal soliton solutions to the generalized three dimensional nonlinear Schrödinger equation in optical fiber communication

... The nonlinear Schrödinger (NLS) equation is one of the important mathematical mod- els in many fields of physics, which has been widely applied in Bose-Einstein condensates [–], nonlinear optical ... See full document

13

Topological soliton solutions of the some nonlinear partial differential equations

Topological soliton solutions of the some nonlinear partial differential equations

... naturally nonlinear in nature [2]. Nonlinear partial differen- tial equations (NPDEs) are difficult to solve and give rise to interesting phenomena such as fluid mechanics, mathematical biology, diffusion ... See full document

16

Study of Surface Soliton at the Interface Between a Semidiscrete One Dimensional Kerr Nonlinear System and a Continuous Medium (Slab Waveguide)

Study of Surface Soliton at the Interface Between a Semidiscrete One Dimensional Kerr Nonlinear System and a Continuous Medium (Slab Waveguide)

... of physics including solid-state physics [1], near surface optics [2], plasmas [3], and acoustics ...In nonlinear optics, surface waves were under active consideration since ... See full document

7

Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp( f(?)) Expansion Method

Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp( f(?)) Expansion Method

... The nonlinear partial differential equations of mathematical physics are major subjects in physical science ...in physics such as fluid mechanics, hydrodynamics, Optics, Plasma physics and so ... See full document

6

Cross soliton and breather soliton for the \((3+1)\) dimensional Yu–Toda–Sasa–Fukuyama equation

Cross soliton and breather soliton for the \((3+1)\) dimensional Yu–Toda–Sasa–Fukuyama equation

... higher-dimensional nonlinear wave fields have richer be- havior than one-dimensional ...of nonlinear waves ...in physics, mathematics, and nonlin- ear science fields for understanding the complexity ... See full document

8

Dark soliton and periodic wave solutions of nonlinear evolution equations

Dark soliton and periodic wave solutions of nonlinear evolution equations

... of nonlinear partial differential equations have been established and developed, which led to one of the most exciting advances of nonlinear science and theoretical ...of soliton-type solutions for ... See full document

11

The Traveling Wave Solutions for Some Nonlinear PDEs in Mathematical Physics

The Traveling Wave Solutions for Some Nonlinear PDEs in Mathematical Physics

... [2] N. A. Kudryashov, “Exact Soliton Solutions of the Gene- ralized Evolution Equation of Wave Dynamics,” Journal of Applied Mathematics and Mechanics, Vol. 52, No. 3, 1988, pp. 361-365. ... See full document

5

Bilinear approach to soliton and periodic wave solutions of two nonlinear evolution equations of Mathematical Physics

Bilinear approach to soliton and periodic wave solutions of two nonlinear evolution equations of Mathematical Physics

... The rest of the paper is organized as follows. In Sect. 2, the bilinear form of (3 + 1)- dimensional potential-YTSF equation is given by applying the Hirota bilinear method. In Sect. 3, N-soliton solutions are ... See full document

10

Laser cavity-soliton microcombs

Laser cavity-soliton microcombs

... the physics of multi-mode systems [29], we provide a new paradigm for soliton generation and control in ...bright soliton combs induced at average powers more than one order of magnitude lower than ... See full document

14

Supplementary Materials for “ High-speed optical neural networks based on microcombs

Supplementary Materials for “ High-speed optical neural networks based on microcombs

... dark soliton states described by the Lugiato-Lefever equation [27]) require sophisticated feedback systems and complex dynamic pumping schemes to initiate and sustain [s1, ...acquired soliton crystals ... See full document

8

Nonlinear Schrödingers equations with cubic nonlinearity: M-derivative soliton solutions by $\exp(-\Phi(\xi))$-Expansion method

Nonlinear Schrödingers equations with cubic nonlinearity: M-derivative soliton solutions by $\exp(-\Phi(\xi))$-Expansion method

... Abstract This paper uses the exp( −Φ(ξ ))-Expansion method to investigate solitons to the M-fractional nonlinear Schr¨odingers equation with cubic nonlinearity. The results obtained are dark solitons, ... See full document

7

Nonlinear Aspects of Quantum Plasma Physics: Nanoplasmonics and Nanostructures in Dense Plasmas

Nonlinear Aspects of Quantum Plasma Physics: Nanoplasmonics and Nanostructures in Dense Plasmas

... In this section, we discuss the nonlinear interaction between intense electromagnetic radiation and quantum plasma oscillations [46]. We consider a one-dimensional geometry of an unmagnetized dense electron-ion ... See full document

9

Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension

Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension

... more nonlinear partial differential equations(NLPDE) with constant and variable coefficients, more precisely with con- cept of deterministic chaos, natural world has been revealed as nonlinear one ...for ... See full document

13

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