Results 111 to 120 of about 47,923 (215)

Bilinearization and new multi-soliton solutions of mKdV hierarchy with time-dependent coefficients

Open Physics, 2016
In this paper, Hirota’s bilinear method is extended to a new modified Kortweg–de Vries (mKdV) hierarchy with time-dependent coefficients. To begin with, we give a bilinear form of the mKdV hierarchy. Based on the bilinear form, we then obtain one-soliton,
Zhang Sheng, Zhang Luyao
doaj   +1 more source

Bifurcation, Chaotic, Sensitivity Analysis, and Optical Soliton Profiles for the Spin Hirota–Maxwell–Bloch Equation in an Erbium-Doped Fiber

Advances in Mathematical Physics
In this work, the reduced spin Hirota–Maxwell–Bloch (rsHMB) equation is examined analytically. This model is useful for characterizing the propagation of femtosecond pulses in an erbium-doped fiber.
Asma Taskeen, Muhammad Ozair Ahmed, Muhammad Zafarullah Baber, Baboucarr Ceesay, Nauman Ahmed   +4 more
doaj   +1 more source

Fractional and Integrable Perspectives on a Variable-Coefficient Semi-Discrete NLS Equation: Analytical Method and Engineering Applications

Fractal and Fractional
The method of deriving fractional-order differential equations using Riesz fractional-order calculus is a new breakthrough, and it is possible to use the inverse scattering transform (IST) to solve the analytical solutions of the derived equations ...
Sen Zhao, Sheng Zhang, Bo Xu
doaj   +1 more source

Quantum backreaction effect in optical solitons

New Journal of Physics
Optical solitons classically are stationary solutions of the nonlinear Schrödinger equation. We perform a quantum field theoretic treatment by quantising a linearised fluctuation field around the classical soliton solution which can be seen as providing ...
Sang-Shin Baak, Friedrich König
doaj   +1 more source

Exact Soliton Solutions to the Variable-Coefficient Korteweg–de Vries System with Cubic–Quintic Nonlinearity

Mathematics
In this manuscript, we investigate the (2+1)-dimensional variable-coefficient Korteweg–de Vries (KdV) system with cubic–quintic nonlinearity. Based on different methods, we also obtain different solutions.
Hongcai Ma, Xinru Qi, Aiping Deng
doaj   +1 more source

Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity

Nonlinear Analysis, 2013
This paper studies the Zakharov equation with power law nonlinearity. The traveling wave hypothesis is applied to obtain the 1-soliton solution of this equation.
Richard Morris, Abdul Hamid Kara, Anjan Biswas   +2 more
doaj  

Bifurcation analysis and dynamical behavior of novel optical soliton solution of chiral (2 + 1) dimensional nonlinear Schrodinger equation in telecommunication system. [PDF]

Sci Rep
Saber H, Roshid MM, Bouye M, Muhyi A, Moumen A, Aldwoah K.   +5 more
europepmc   +1 more source

Noval soliton solution, sensitivity and stability analysis to the fractional gKdV-ZK equation. [PDF]

Sci Rep
Shakeel M, Zafar A, Alameri A, Junaid U Rehman M, Awrejcewicz J, Umer M, Zahid M, Sooppy Nisar K.   +7 more
europepmc   +1 more source

Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects. [PDF]

Sci Rep
Hussein HH, Alexan W, Kandil SA.
europepmc   +1 more source

Dynamic soliton solutions and stability analysis of the (2+1)-dimensional Wazwaz Kaur Boussinesq equation using an efficient method. [PDF]

Sci Rep
Elsonbaty NM, Ahmed HM, Badra NM, Rabie WB.   +3 more
europepmc   +1 more source