Symmetry, Phase Modulation and Nonlinear Waves
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Publication:5347101
DOI10.1017/9781316986769zbMath1383.76002OpenAlexW2726296406MaRDI QIDQ5347101
Publication date: 22 May 2017
Full work available at URL: https://doi.org/10.1017/9781316986769
conservation lawnonlinear Schrödinger equationNoether's theoremsoliton equationWhitham's modulation theorysaddle-centre bifurcation
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Incompressible inviscid fluids (76Bxx)
Related Items (12)
Nonlinear modulation near the Lighthill instability threshold in 2+1 Whitham theory ⋮ Phase dynamics of the Dysthe equation and the bifurcation of plane waves ⋮ Validity of the hyperbolic Whitham modulation equations in Sobolev spaces ⋮ Modulated equations of Hamiltonian PDEs and dispersive shocks ⋮ A proof of validity for multiphase Whitham modulation theory ⋮ Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory ⋮ The modulation of multiple phases leading to the modified Korteweg–de Vries equation ⋮ A high-order nonlinear Schrödinger equation as a variational problem for the averaged Lagrangian of the nonlinear Klein-Gordon equation ⋮ Dispersive dynamics in the characteristic moving frame ⋮ Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure ⋮ Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves ⋮ Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics
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