Cover Image

Quasi one dimensional anomalous (rogue) waves in multidimensional nonlinear Schrödinger equations 1: fission and fusion

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Coppini, Francesco, Santini, Paolo Maria
Format:	Preprint
Published:	2025
Subjects:	Mathematical Physics Pattern Formation and Solitons
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

x-periodic Quasi One Dimensional Anomalous (Rogue) Waves in Multidimensional Nonlinear Schrödinger Equations: Fission, Fusion, and Recurrence
by: Coppini, Francesco, et al.
Published: (2026)

Nonlinear bandgap transmission by discrete rogue waves induced in a pendulum chain
by: Motcheyo, Alain Bertrand Togueu, et al.
Published: (2024)

Asymmetric integrable turbulence and rogue wave statistics for the derivative nonlinear Schrödinger equation
by: Zhong, Ming, et al.
Published: (2025)

Two-dimensional fractional discrete NLS equations: dispersion relations, rogue waves, fundamental and vortex solitons
by: Zhong, Ming, et al.
Published: (2024)

Solitary wave solutions, periodic and superposition solutions to the system of first-order (2+1)-dimensional Boussinesq's equations derived from the Euler equations for an ideal fluid model
by: Rozmej, Piotr, et al.
Published: (2025)

Formation of mechanical rogue waves
by: Miyazawa, Yasuhiro, et al.
Published: (2026)

Collisions and fusion of one- and two-dimensional solitons driven by potential troughs in the cubic-quintic nonlinear Schrödinger equations
by: Zeng, Liangwei, et al.
Published: (2026)

Speed-of-light pulses in the massless nonlinear Dirac equation with a potential
by: Quintero, Niurka R., et al.
Published: (2017)

Experimental emulator of pulse dynamics in fractional nonlinear Schrödinger equation
by: Liu, Shilong, et al.
Published: (2023)

Identification of moment equations via data-driven approaches in nonlinear schrodinger models
by: Yang, Su, et al.
Published: (2024)

New exact solutions to the generalized shallow water wave equation
by: Mia, Rajib, et al.
Published: (2024)

Multi-lump, lump-kink and interaction of breather with other nonlinear waves of a couple Boussinesq system
by: Nasipuri, Snehalata, et al.
Published: (2025)

Wind-wave interaction in finite depth: linear and nonlinear approaches, blow-up and soliton breaking in finite time, integrability perspectives
by: Latifi, A., et al.
Published: (2024)

Localized wave solutions of three-component defocusing Kundu-Eckhaus equation with 4x4 matrix spectral problem
by: Wang, Yanan, et al.
Published: (2025)

Soliton Condensates for the Focusing Nonlinear Schrödinger Equation: a Non-Bound State Case
by: Tovbis, Alexander, et al.
Published: (2023)

Three-dimensional solitons in fractional nonlinear Schrödinger equation with exponential saturating nonlinearity
by: Lashkin, Volodymyr M., et al.
Published: (2024)

Nonlinearly dispersive KP equations with new compacton solutions
by: Anco, Stephen C., et al.
Published: (2021)

Solitary wave-mean flow interaction in strongly nonlineardispersive shallow water waves
by: Congy, Thibault, et al.
Published: (2025)

Stability of nonlinear Dirac solitons under the action of external potential
by: Mellado-Alcedo, David, et al.
Published: (2025)

Soliton dynamics in the ABS nonlinear spinor model with external fields
by: Mertens, Franz G., et al.
Published: (2026)

Solitary waves in the complementary generalized ABS model
by: Khare, Avinash, et al.
Published: (2025)

Suppression of soliton collapses, modulational instability, and rogue-wave excitation in two-Lévy-index fractional Kerr media
by: Zhong, Ming, et al.
Published: (2024)

Exact solution of the propagation of ON-OFF signals by dispersive waves
by: Yamamoto, Ken
Published: (2024)

Self-similarity of rogue wave generation in gyrotrons: Beyond the Peregrine breather
by: Rozental, R. M., et al.
Published: (2023)

An analytic study on the properties of solitary waves traveling on tensegrity-like lattices
by: Amendola, Ada
Published: (2024)

Universal formal asymptotics for localized oscillation of a discrete mass-spring-damper system of time-varying properties, embedded into a one-dimensional medium described by the telegraph equation with variable coefficients
by: Gavrilov, Serge N., et al.
Published: (2024)

Localized stem structures in quasi-resonant solutions of the Kadomtsev-Petviashvili equation
by: Yuan, Feng, et al.
Published: (2025)

Electrostatic wave interaction via asymmetric vector solitons as precursor to rogue wave formation in non-Maxwellian plasmas
by: Lazarides, N., et al.
Published: (2024)

Analysis of Solitons within the framework of the fractional Zakharov-Kuznetsov equation utilizing Hirota bilinear method
by: Dutta, Saugata, et al.
Published: (2024)

Dynamics of discrete solitons in the fractional discrete nonlinear Schrödinger equation with the quasi-Riesz derivative
by: Zhong, Ming, et al.
Published: (2024)

Peaked Stokes waves as solutions of Babenko's equation
by: Locke, Spencer, et al.
Published: (2024)

Integrable discretization of the vector/matrix nonlinear Schrödinger equation and the associated Yang-Baxter map
by: Tsuchida, Takayuki
Published: (2015)

A Nonlinear $q$-Deformed Schrödinger Equation
by: Rego-Monteiro, M. A., et al.
Published: (2026)

Unique multistable states in periodic structures with saturable nonlinearity
by: Raja, S. Vignesh, et al.
Published: (2024)

Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{ö}dinger equation
by: Saha, Abhik Kumar, et al.
Published: (2022)

Breather gas and shielding for the focusing nonlinear Schrödinger equation with nonzero backgrounds
by: Weng, Weifang, et al.
Published: (2025)

On examining the predictive capabilities of two variants of PINN in validating localised wave solutions in the generalized nonlinear Schrödinger equation
by: K., Thulasidharan, et al.
Published: (2024)

Shielding of breathers for the focusing nonlinear Schrödinger equation
by: Falqui, Gregorio, et al.
Published: (2024)

Nonlinear Schrödinger Equation with Spatio-Temporal Perturbations
by: Mertens, Franz G., et al.
Published: (2009)

Emergence of rogue-like waves in a reaction-diffusion system: Stochastic output from deterministic dissipative dynamics
by: Knobloch, Edgar, et al.
Published: (2024)