On the Whitham Equations for the Defocusing Complex Modified KdV Equation
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Publication:3398268
DOI10.1137/070705131zbMath1176.35157arXiv0710.2632OpenAlexW1974836139MaRDI QIDQ3398268
Virgil U. Pierce, Yuji Kodama, Fei-Ran Tian
Publication date: 28 September 2009
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.2632
KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Shock waves and blast waves in fluid mechanics (76L05) NLS equations (nonlinear Schrödinger equations) (35Q55)
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Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory ⋮ Numerical solutions and stability analysis for solitary waves of complex modified Korteweg–de Vries equation using Chebyshev pseudospectral methods ⋮ Inverse scattering problem for the matrix modified Korteweg-de Vries equation with finite density type initial data ⋮ Evolution of initial discontinuities in a particular case of two-step initial problem for the defocusing complex modified KdV equation ⋮ Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws ⋮ Initial value problem of the Whitham equations for the Camassa-Holm equation ⋮ Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure ⋮ The complete classification of solutions to the Riemann problem of the defocusing complex modified KdV equation ⋮ The orbital stability of the periodic traveling wave solutions to the defocusing complex modified Korteweg-de Vries equation
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