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Soliton Solution of Good Boussinesq Equation
Vietnam Journal of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Holomorphic solutions of soliton equations
Transactions of the Moscow Mathematical Society, 2022We present a holomorphic version of the inverse scattering method for soliton equations of parabolic type in two-dimensional space-time. It enables one to construct examples of solutions holomorphic in both variables and study the properties of all such solutions.
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Mixed lump–soliton solutions of the (3+1)-dimensional soliton equation
Applied Mathematics Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
JunCai Pu, HengChun Hu
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Coherent states as soliton solutions
Journal of Magnetism and Magnetic Materials, 1986Abstract 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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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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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, 1980where 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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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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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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Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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