Results 191 to 200 of about 47,915 (224)

Approximate soliton solutions around an exact soliton solution of the toda lattice equation

Physics Letters A, 1988
Abstract It is shown both analytically and numerically that the Toda lattice equation exp [-(u n -u n-1 )]- exp [-(u n+1 -u n )] - u n = 0 exhibits approximate one- or multi-soliton solutions exp [-(un-un-1)] -1 = p(d2/dt2)ln(fn) with p = arbitrary constant #62; 0 corresponding to the exact one with p = 1 for
S. Takeno, K. Kisoda, S. Homma
openaire   +1 more source

Soliton solutions for Davydov solitons in α-helix proteins

Superlattices and Microstructures, 2017
Abstract The propagation equation for describing Davydov solitons in α-helix proteins has been investigated analytically. There are seven integration tools to extract analytical soliton solutions. They are the Ricatti equation expansion approach, ansatz scheme, improved extended tanh-equation method, the extend exp ( − Ψ ( τ ...
N. Taghizadeh, Qin Zhou, M. Ekici, M. Mirzazadeh   +3 more
openaire   +1 more source

Multiple soliton solutions and multiple singular soliton solutions for two integrable systems

Physics Letters A, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Soliton Solution of Good Boussinesq Equation

Vietnam Journal of Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Holomorphic solutions of soliton equations

Transactions of the Moscow Mathematical Society, 2022
We 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.
openaire   +2 more sources

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

Applied Mathematics Letters, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
JunCai Pu, HengChun Hu
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +1 more source