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Nonlinear waves, modulations and rogue waves in the modular Korteweg–de​ Vries equation

  • Published:2023-12 Issue: Volume:127 Page:107527
  • ISSN:1007-5704
  • Container-title:Communications in Nonlinear Science and Numerical Simulation
  • language:en
  • Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Slunyaev A.V.ORCID,Kokorina A.V.,Pelinovsky E.N.

Funder

Foundation for the Advancement of Theoretical Physics and Mathematics

Russian Science Foundation

Government of the Russian Federation

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference31 articles.

1. Nonlinear dynamics of quadratically cubic systems;Rudenko;Phys Usp,2013

2. Modular solitons;Rudenko;Dokl Math,2016

3. Compactons;Rosenau;J Phys A,2018

4. Extended criterion for the modulation instability;Amiranashvili;New J Phys,2019

5. Modular solitons: Mutual absorption and annihilation in dissipative media;Vasilieva;Acoust Phys,2020

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1. Numerical adiabatic perturbation theory for the absolute |K|(p,p) equation;Mathematics and Computers in Simulation;2024-11

2. A hybrid variational method for beam propagation and interaction in a graded-index nonlinear waveguide;Communications in Nonlinear Science and Numerical Simulation;2024-10

3. Self-similarity of rogue wave generation in gyrotrons: Beyond the Peregrine breather;Chaos, Solitons & Fractals;2024-06

4. Localized wave structures: Solitons and beyond;Chaos: An Interdisciplinary Journal of Nonlinear Science;2024-06-01

5. The Hopf equation with certain modular nonlinearities;Physics Letters A;2024-05
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