Bounded traveling waves of the oceanic currents motion equations

DOI10.1016/j.amc.2010.01.017zbMath1252.86002OpenAlexW1973276323MaRDI QIDQ961560

Qian Liu, Shou-ming Zhong, Wei Nian Zhang, Yu-Qian Zhou

Publication date: 31 March 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.017

zbMATH Keywords

solitary wavesbifurcationperiodic traveling wavescusp wavesoceanic currents motion equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10)

Cites Work

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• Bifurcation of travelling wave solutions for the modified dispersive water wave equation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcation of traveling waves resulting from resonant mode crossings in oceanic currents
• A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation
• The evolution of travelling waves in generalized Fisher equations via matched asymptotic expansions: exponential corrections
• The application of bifurcation method to a higher-order KdV equation
• Existence of traveling wave solutions in a diffusive predator-prey model
• Traveling waves in a bio-reactor model
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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