Results 71 to 80 of about 52,211 (225)
The Sinh–Poisson equation and the RLC transmission line equation are important nonlinear model equations in the field of engineering and power transmission. The modified simple equation (MSE) procedure is a realistic, competent and efficient mathematical
Abdul Kayum Md. +3 more
doaj +1 more source
Soliton solutions for fractional Schrödinger equations
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Quanqing Li, Xian Wu 0002
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The miniaturization of metrology and precision spectroscopy systems requires robust, turn‐key microcombs with broad bandwidth, low threshold, and high efficiency. Here, high‐Q, dispersion‐engineered microresonators in a high‐confinement nonlinear SiC platform, combined with waveguide‐enabled thermal management and laser cooling, enable deterministic ...
Yi Zheng +7 more
wiley +1 more source
The multiple Exp-function method is employed for searching the multiple soliton solutions for the new extended (3+1)-dimensional Jimbo-Miwa-like (JM) equation, the extended (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (eCBS) equation, the ...
Pengbo Wan +3 more
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An integrable semi-discretization of the Camassa-Holm equation and its determinant solution
An integrable semi-discretization of the Camassa-Holm equation is presented. The keys of its construction are bilinear forms and determinant structure of solutions of the CH equation.
Ablowitz M J +12 more
core +1 more source
Smooth soliton solutions of a new integrable equation by Qiao [PDF]
We find a transformation which relates a new third-order integrable nonlinear evolution equation, introduced recently by Qiao, with the well-known modified Korteweg - de Vries equation.
Sakovich, Sergei
core +3 more sources
Optical Skyrmions with Tunable or Reconfigurable Topology Using Spin‐Decoupled Metaoptics
The work introduces advanced optical elements capable of generating and dynamically reconfiguring complex light patterns known as optical skyrmions. By precisely shaping light polarization at the nanoscale, a single engineered metasurface can generate and manipulate robust and tunable polarization textures in an efficient and scalable way.
Andrea Vogliardi +5 more
wiley +1 more source
The nonlinear vibration and dispersive wave systems with extended homoclinic breather wave solutions
This article investigates the extended homoclinic (heteroclinic) breather wave solutions and interaction periodic and dark soliton solutions to the nonlinear vibration and dispersive wave systems.
Rao Xianqing +5 more
doaj +1 more source
On the dynamics of rational solutions for 1-D generalized Volterra system
The Hirota bilinear formalism and soliton solutions for a generalized Volterra system is presented. Also, starting from the soliton solutions, we obtain a class of nonsingular rational solutions using the "long wave" limit procedure of Ablowitz and ...
A.S. Cârstea +16 more
core +1 more source
Soliton solutions of a coupled Ramani equation
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Jun-Xiao Zhao, Hon-Wah Tam
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