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February 2, 2026The European Physical Journal PlusOpen Access

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

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Authors

FCF. CoppiniPSP. M. Santini

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Overview

Demonstrates fission and fusion processes in anomalous waves under modulation instability in various dimensions, suggesting their significance in natural phenomena.

Key Points

  • The aim is to investigate the first nonlinear stage of modulation instability in x-periodic anomalous waves within multidimensional nonlinear Schrödinger equations.
  • Analyze the nonlinear stage of modulation instability (NLSMI) of anomalous waves in various focusing NLS equations.
  • Utilize the quasi one-dimensional (Q1D) regime to study wave behavior characterized by the Akhmediev breather solution.
  • Conduct numerical experiments on hyperbolic NLS equations to explore AW growth and fission processes.
  • Identify that fission and fusion occur as critical processes during modulation instability.
  • Demonstrate that AW growth can lead to fission and fusion, reflecting similarities with multidimensional wave breaking.
  • Show the universality of these processes across different models, indicating their relevance in natural phenomena.

Cite This Study

Coppini et al. (2026) studied this question.

synapsesocial.com/papers/6980feeac1c9540dea81168dhttps://doi.org/10.1140/epjp/s13360-025-07276-y
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