Results 191 to 200 of about 2,294,985 (248)

Exact analytical soliton solutions of the M-fractional Akbota equation. [PDF]

Sci Rep
Awadalla M, Taishiyeva A, Myrzakulov R, Alahmadi J, Zaagan AA, Bekir A.   +5 more
europepmc   +1 more source

Discrete Isothermic Nets Based on Checkerboard Patterns. [PDF]

Discrete Comput Geom
Dellinger F.
europepmc   +1 more source

An exploration of the (3+1)-dimensional negative order KdV-CBS model: Wave solutions, Bäcklund transformation, and complexiton dynamics. [PDF]

PLoS One
Vivas-Cortez M, Rani B, Raza N, Basendwah GA, Imran M.   +4 more
europepmc   +1 more source

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A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions

Communications in Nonlinear Science and Numerical Simulation, 2020
Based on an introduced ( 2 m + n ) × ( 2 m + n ) matrix spectral problem, a matrix Yajima–Oikawa long-wave-short-wave resonance equation is proposed, which can be reduced to an ( n + 1 ) -component Yajima–Oikawa long-wave-short-wave resonance equation ...
Ruomeng Li, X. Geng
semanticscholar   +3 more sources

Darboux Transformations and Solitons

, 1992
V. Matveev, M. A. Salle
semanticscholar   +2 more sources

A novel kind of reduced integrable matrix mKdV equations and their binary Darboux transformations

Modern physics letters B, 2022
A novel kind of reduced integrable matrix mKdV equations is generated from a group reduction replacing the spectral parameter [Formula: see text] with [Formula: see text] in the matrix AKNS spectral problems.
W. Ma
semanticscholar   +1 more source

Darboux transformations of the supersymmetric constrained B and C type KP hierarchies

Journal of Geometry and Physics, 2021
Based on Darboux transformations for the supersymmetric constrained KP(ScKP) hierarchy, we construct the supersymmetric constrained B type KP(ScBKP) and supersymmetric constrained C type KP(ScCKP) hierarchies of Manin–Radul and Jacobian types, and derive
Qingling Shi, Chuanzhong Li
semanticscholar   +1 more source

Characterization of Darboux transformations for quantum systems with quadratically energy-dependent potentials

Journal of Mathematics and Physics, 2021
We construct three classes of higher-order Darboux transformations for Schrodinger equations with quadratically energy-dependent potentials by means of generalized Wronskian determinants.
A. Schulze-Halberg
semanticscholar   +1 more source

Darboux transformations and exact solutions for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation

Applied Mathematics Letters, 2020
In this letter we propose the localized wave solutions of the nonlocal integrable Lakshmanan − Porsezian − Daniel equation in the matrix form by the Darboux transformations.
Yunqing Yang, Takashi Suzuki, Xueping Cheng   +2 more
semanticscholar   +1 more source

Generalized Darboux Transformations, Rogue Waves, and Modulation Instability for the Coherently Coupled Nonlinear Schrödinger Equations in Nonlinear Optics

Annals of Physics, 2019
Nonlinear optics plays a central role in the advancement of optical science and laser‐based technologies. The second‐order rogue‐wave solutions and modulation instability for the coherently coupled nonlinear Schrödinger equations with the positive ...
Su‐Su Chen, B. Tian, Y. Sun, Chen-Rong Zhang   +3 more
semanticscholar   +1 more source