Results 191 to 200 of about 48,235 (213)

Mixed lump–soliton solutions of the (3+1)-dimensional soliton equation

Applied Mathematics Letters, 2018
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JunCai Pu, HengChun Hu
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Coherent states as soliton solutions

Journal of Magnetism and Magnetic Materials, 1986
Abstract The totality of solutions for a hierarchy of equations in soliton theory is identified with the set of coherent states associated with a quantum system of infinitely many harmonically interacting fermions.
G.M. D'Ariano, M.G. Rasetti
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Regular soliton solutions and singular soliton solutions for the modified Kadomtsev–Petviashvili equations

Applied Mathematics and Computation, 2008
Abstract In this paper, we study the positive and the negative modified Kadomtsev–Petviashvili (mKP) equations. The mKP equations are completely integrable equations that admit N -soliton solutions and an infinite number of conserved densities.
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Soliton solutions in polaron theory

Theoretical and Mathematical Physics, 1980
where ω is the frequency of the optical phonons, c is a constant, e is the electron charge, V is the volume, and r is the electron coordinate. The case of weak coupling of the electrons to the field of the optical phonons, when Hint can be treated in perturbation theory, was considered for the first time in [1].
N. K. Balabaev, V. D. Lakhno
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Multiple soliton solutions and multiple complex soliton solutions for two distinct Boussinesq equations

Nonlinear Dynamics, 2016
We investigate two Boussinesq equations where the fourth-order terms come with minus and plus signs. We show that the Boussinesq equation with minus fourth-order term gives multiple soliton solutions, whereas the model with the plus fourth-order term gives multiple complex soliton solutions.
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Multiple soliton solutions and multiple singular soliton solutions for the (3+1)-dimensional Burgers equations

Applied Mathematics and Computation, 2008
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Two systems of two-component integrable equations: Multiple soliton solutions and multiple singular soliton solutions

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The complex-valued astigmatic cosine-Gaussian soliton solution of the nonlocal nonlinear Schrödinger equation and its transmission characteristics

Applied Mathematics Letters, 2022
Shuang Shen, Zhen-Jun Yang
exaly  

Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN

Nonlinear Dynamics, 2021
Chao-Qing Dai
exaly  

Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types

Nonlinear Dynamics, 2021
Xing Lue
exaly