Results 61 to 70 of about 34,063 (197)
Dispersive Wave Focusing in Shoaling Water With Currents
Journal of Geophysical Research: Oceans, Volume 131, Issue 3, March 2026.Abstract A methodology creating dispersive focusing waves on constant depth, originally proposed by Rapp and Melville (1990), https://doi.org/10.1098/rsta.1990.0098, has provided a wide range of applications studying nonlinear waves, wave breaking, and rogue waves in the open ocean.
Y. Watanabe, T. Davey, D. M. Ingram
wiley +1 more source
Integrable Hierarchy of Higher Nonlinear Schrödinger Type Equations
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
doaj
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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Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)
Studies in Applied Mathematics, Volume 156, Issue 3, March 2026.ABSTRACT In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the solutions of the Cauchy problem associated with this equation are bounded globally in time in the ...
Amin Esfahani, Gulcin M. Muslu
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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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Persistent bright solitons in sign-indefinite coupled nonlinear Schrödinger equations with a time-dependent harmonic trap [PDF]
Communications in nonlinear science & numerical simulation, 2015 We introduce a model based on a system of coupled nonlinear Schrodinger (NLS) equations with opposite signs infront of the kinetic and gradient terms in the two equations.
R. Radha +3 more
semanticscholar +1 more source
Surface Wave Solutions in 1D and 2D for the Broer–Kaup–Boussinesq–Kupershmidt System
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT The Broer–Kaup–Boussinesq–Kupershmidt (BKBK) system is a singular perturbation of the classical shallow water equations which modifies their transport velocity to depend on wave elevation slope. This modification introduces backward diffusion terms proportional to a real parameter κ$\kappa$.
Darryl D. Holm, Ruiao Hu, Hanchun Wang
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Long wave asymptotics for the Euler–Korteweg system
, 2018 International audienceThe Euler–Korteweg system (EK) is a fairly general nonlinear waves model in mathematical physics that includes in particular the fluid formulation of the NonLinear Schrödinger equation (NLS).
Benzoni-Gavage, Sylvie, Chiron, David
core +3 more sources
Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
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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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