# [PDF] Top 20 Nonlinear Physics in Soliton Microcombs

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### 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

... 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

... 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

... 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

... 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

... 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

... 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

... 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

... 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)

... 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

... 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

... 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

... 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

... [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

... 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

... 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

... 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

... 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

... 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

... 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

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