Results 141 to 150 of about 7,793,680 (284)

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
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Solitons in low-dimensional sigma models [PDF]

, 1997
The aim of this thesis is to study topological soliton solutions in classical field theories, called sigma models, on a three-dimensional space. In chapter 1 we review the general field-theoretical framework of classical soliton solutions and exemplify ...
Gladikowski, J., Gladikowski, Jens
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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
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Non-Autonomous Soliton Hierarchies [PDF]

A formalism for the systematic construction of integrable non-autonomous deformations of soliton hierarchies is presented. The theory is formulated as an initial value problem (IVP) for an associated Frobenius integrability condition on a Lie algebra. It
Maciej Błaszak, Krzysztof Marciniak, Szablikowski, Blazej M., Błażej M. Szablikowski, Blaszak, Maciej, Marciniak, Krzysztof   +5 more
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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

Schematic illustration of bright soliton type amplitude of KP-BBM equation corresponds to the solution . [PDF]

Schematic illustration of bright soliton type amplitude of KP-BBM equation corresponds to the solution .
S. M. Rayhanul Islam (18496096), Kamruzzaman Khan (17388221)   +1 more
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The complex sine-Gordon model on a half line [PDF]

, 2003
In this thesis, we study the complex sine-Gordon model on a half line. The model in the bulk is an integrable (l+1) dimensional field theory which is U(1) gauge invariant and comprises a generalisation of the sine-Gordon theory.
Tzamtzis, Georgios
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Reformulasi dari solusi -soliton untuk persamaan korteweg-de vries [PDF]

, 2002
Solusi 3-soliton dari persaxnaan Korteweg-de Vries (MI!) dapat diperoleh dengan Metode Hirota. Reformulasi solusi 3-soliton dinyatakan sebagai superposisi solusi masing-masing individu soliton.
Mustikaningsih , Dian
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