Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability
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Publication:5153944
DOI10.1111/SAPM.12398zbMath1487.35313arXiv2009.02350OpenAlexW3164880720MaRDI QIDQ5153944
Patrick Sprenger, Boaz Ilan, M. A. Hoefer, Adam L. Binswanger
Publication date: 1 October 2021
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.02350
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)
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The cubic vortical Whitham equation ⋮ Evolution of initial discontinuities in the Riemann problem for the Jaulent-Miodek equation with positive dispersion ⋮ Rigorous justification of the Whitham modulation equations for equations of Whitham type ⋮ Modulational stability brought by cubic-quartic interactions of the nearest-neighbor in FK model subjected in a parametrized on-site potential ⋮ The Weierstrass and Jacobi elliptic solutions along with multiwave, homoclinic breather, kink-periodic-cross rational and other solitary wave solutions to Fornberg Whitham equation
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