Results 1 to 10 of about 1,989,001 (174)
Integrable Hierarchy of Higher Nonlinear Schrödinger Type Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2006 Addition of higher nonlinear terms to the well known integrable nonlinear Schrödinger (NLS) equations, keeping the same linear dispersion (LD) usually makes the system nonintegrable. We present a systematic method through a novel Eckhaus-Kundu hierarchy,
Anjan Kundu
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On Blow-Up and Explicit Soliton Solutions for Coupled Variable Coefficient Nonlinear Schrödinger Equations [PDF]
MathematicsThis work is concerned with the study of explicit solutions for a generalized coupled nonlinear Schrödinger equations (NLS) system with variable coefficients.
José M. Escorcia, Erwin Suazo
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Results in PhysicsThe goal of this article is to obtain soliton cluster solutions of (2 + 1)-dimensional nonlinear variable coefficient Schrödinger equations through computerized symbolic computation.
Shaofu Wang
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Results in Physics, 2023 Nonlinear fractional-order evolution equations are fundamental strategies for simulating nonlinear phenomena on a large scale in technology, science, and engineering.
M. Ali Akbar +2 more
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MathematicsThe nonlinear Schrödinger (NLS) equation stands as a cornerstone model for exploring the intricate behavior of weakly nonlinear, quasi-monochromatic wave packets in dispersive media. Its reach extends across diverse physical domains, from surface gravity
Natanael Karjanto
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International Journal of Differential EquationsThe mathematical models of problems that arise in many branches of science are nonlinear equations of evolution (NLEE). For this reason, NLEE have served as a language in formulating many engineering and scientific problems.
Murat Koparan
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Rogue waves and downshifting in the presence of damping [PDF]
Natural Hazards and Earth System Sciences, 2011 Recently Gramstad and Trulsen derived a new higher order nonlinear Schrödinger (HONLS) equation which is Hamiltonian (Gramstad and Trulsen, 2011). We investigate the effects of dissipation on the development of rogue waves and downshifting by adding an ...
A. Islas, C. M. Schober
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Rogue waves and periodic solutions of a nonlocal nonlinear Schrödinger model
Physical Review Research, 2020 In the present paper, a nonlocal nonlinear Schrödinger (NLS) model is studied by means of a recent technique that identifies solutions of partial differential equations by considering them as fixed points in space-time.
C. B. Ward +3 more
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Advances in Difference Equations, 2021 Ablowitz–Kaup–Newell–Segur (AKNS) linear spectral problem gives birth to many important nonlinear mathematical physics equations including nonlocal ones.
Bo Xu, Yufeng Zhang, Sheng Zhang
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Phase shift, amplification, oscillation and attenuation of solitons in nonlinear optics
Journal of Advanced Research, 2019 In nonlinear optics, the soliton transmission in different forms can be described with the use of nonlinear Schrödinger (NLS) equations. Here, the soliton transmission is investigated by solving the NLS equation with the reciprocal of the group velocity ...
Weitian Yu +4 more
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