Copertina

On examining the predictive capabilities of two variants of PINN in validating localised wave solutions in the generalized nonlinear Schrödinger equation

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	K., Thulasidharan, N., Sinthuja, N., Vishnu Priya, M, Senthilvelan
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Pattern Formation and Solitons
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Predicting positon solutions of a family of Nonlinear Schrödinger equations through Deep Learning algorithm
di: Thulasidharan, K., et al.
Pubblicazione: (2024)

Robustness of the solitons against perturbations in certain nonlocal nonlinear Schrödinger type equations in Nonlinear Physics
di: Sreelakshmi, M. D., et al.
Pubblicazione: (2025)

Breather and Positon excitations in a nonlinear electrical transmission line modeled by the Kundu-Eckhaus Equation
di: Sinthuja, N., et al.
Pubblicazione: (2025)

Degenerate soliton solutions and their interactions in coupled Hirota equation with trivial and nontrivial background
di: Monisha, S., et al.
Pubblicazione: (2024)

Baseband Modulational Instability and Manifestation of Breather and Super Rogue Wave Phenomena in Modified Noguchi Electrical Transmission Line
di: Sinthuja, N., et al.
Pubblicazione: (2025)

Transmission of Positons in a Modified Noguchi Electrical Transmission Line
di: Sinthuja, N., et al.
Pubblicazione: (2025)

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

Whitham modulation theory for the defocusing nonlinear Schrodinger equation in two and three spatial dimensions
di: Abeya, Asela, et al.
Pubblicazione: (2023)

Existence and stability for traveling waves of fourth order semilinear wave and Schrodinger equations
di: Iyer, Vishnu, et al.
Pubblicazione: (2025)

Fine structure of soliton bound states in the parametrically driven, damped nonlinear Schrödinger equation
di: Bogdan, M. M., et al.
Pubblicazione: (2024)

Exponential asymptotics of dark and bright solitons in the discrete nonlinear Schrödinger equation
di: Adriano, Farrell Theodore, et al.
Pubblicazione: (2025)

Spontaneous symmetry-breaking in the nonlinear Schrödinger equation on star graphs with inhomogeneities
di: Rusin, Rahmi, et al.
Pubblicazione: (2025)

Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrodinger equations
di: Cole, Justin T., et al.
Pubblicazione: (2023)

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

Drift instabilities in localised Faraday patterns
di: Marín, Juan F., et al.
Pubblicazione: (2021)

Quasi-continuum approximations for nonlinear dispersive waves in general discrete conservation laws
di: Yang, Su
Pubblicazione: (2025)

Subcritical Turing bifurcation and the morphogenesis of localised patterns
di: Breña-Medina, Víctor, et al.
Pubblicazione: (2025)

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

Numerical investigation of a family of solitary-wave solutions for the nonlinear Schrödinger equation perturbed by third-, and fourth-order dispersion
di: Melchert, O., et al.
Pubblicazione: (2024)

Two-component nonlinear waves
di: Adamashvili, G. T.
Pubblicazione: (2024)

Quasi one dimensional anomalous (rogue) waves in multidimensional nonlinear Schrödinger equations 1: fission and fusion
di: Coppini, Francesco, et al.
Pubblicazione: (2025)

Constructing longulence in the Galerkin-regularized nonlinear Schrödinger and complex Ginzburg-Landau systems
di: Zhu, Jian-Zhou
Pubblicazione: (2024)

Asymptotic Analysis of discrete nonlinear localised modes in a Kagome lattice
di: Wattis, Jonathan AD, et al.
Pubblicazione: (2026)

Whitham modulation theory for the Zakharov-Kuznetsov equation and transverse instability of its periodic traveling wave solutions
di: Biondini, Gino, et al.
Pubblicazione: (2023)

Radial amplitude equations for fully localised planar patterns
di: Hill, Dan J., et al.
Pubblicazione: (2024)

New exact spatially localized solutions of the (3 + 1) -dimensional nonlinear non-dissipative quasi-geostrophic potential vorticity equation for an exponential atmosphere
di: Kudryavtsev, A. G., et al.
Pubblicazione: (2025)

Dynamics of localized states in the stochastic discrete nonlinear Schrödinger equation
di: Ebrahimi, Mahdieh, et al.
Pubblicazione: (2025)

`Relativistic' propagation of instability fronts in nonlinear Klein-Gordon equation dynamics
di: Kamchatnov, A. M.
Pubblicazione: (2026)

Beyond-all-order asymptotics for homoclinic snaking of localised patterns in reaction-transport systems
di: Villar-Sepúlveda, Edgardo
Pubblicazione: (2025)

Solitary waves in the coupled nonlinear massive Thirring as well as coupled Soler models with arbitrary nonlinearity
di: Khare, Avinash, et al.
Pubblicazione: (2024)

Dirac monopole potentials with high charges underlying nonlinear waves
di: Qin, Yan-Hong, et al.
Pubblicazione: (2026)

Chiral solitary waves in a nonlinear topological insulator model
di: Johnson, Troy I., et al.
Pubblicazione: (2026)

$PT$ Symmetric PINN for integrable nonlocal equations: Forward and inverse problems
di: Peng, Wei-Qi, et al.
Pubblicazione: (2023)

Minimal velocity of the travelling wave solutions in two coupled FKPP equations with the global conservation law
di: Baburin, O. I., et al.
Pubblicazione: (2025)

Nonlinear Schrödinger equation in cylindrical coordinates
di: Krechetnikov, R.
Pubblicazione: (2022)

Propagation of generalized Korteweg-de Vries solitons along large-scale waves
di: Kamchatnov, A. M., et al.
Pubblicazione: (2023)

General two-component long-wave short-wave resonance interaction system: Non-degenerate vector solitons and their collision dynamics
di: Stalin, S., et al.
Pubblicazione: (2025)

On the proximity of Ablowitz-Ladik and discrete Nonlinear Schrödinger models: A theoretical and numerical study of Kuznetsov-Ma solutions
di: Lytle, Madison L., et al.
Pubblicazione: (2024)

Isotropic extension of first-order wave equations
di: Zhang, Shengqi
Pubblicazione: (2025)

Statistical mechanics and pressure of composite multimoded weakly nonlinear optical systems
di: Efremidis, Nikolaos K., et al.
Pubblicazione: (2024)