Multi-dark soliton solutions for a coupled AB system in the geophysical flows
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Publication:1739435
DOI10.1016/J.AML.2019.01.028zbMath1412.35058OpenAlexW2912376832WikidataQ128473134 ScholiaQ128473134MaRDI QIDQ1739435
Publication date: 26 April 2019
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2019.01.028
Soliton solutions (35C08) PDEs in connection with geophysics (35Q86) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
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Cites Work
- Unnamed Item
- Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows
- Lax pair, infinitely many conservation laws and solitons for a \((2 + 1)\)-dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients
- Characteristics of fundamental and superregular modes in a multiple self-induced transparency system
- Darboux transformation and multi-dark soliton forN-component nonlinear Schrödinger equations
- Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations
- A coupled “AB” system: Rogue waves and modulation instabilities
- Superregular breathers in a complex modified Korteweg-de Vries system
- Envelope Solitary Waves and Periodic Waves in the AB Equations
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