New eKdV coefficients for two-layer internal waves with shear currents, plus Gardner-mapped solitary and cnoidal solutions, are tested against strongly nonlinear simulations, where the improved Gardner equation performs best for small and moderate amplitudes.
Kodama, On integrable systems with higher order corrections , Phys
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Internal solitary and cnoidal waves of moderate amplitude in a two-layer fluid: the extended KdV equation approximation
New eKdV coefficients for two-layer internal waves with shear currents, plus Gardner-mapped solitary and cnoidal solutions, are tested against strongly nonlinear simulations, where the improved Gardner equation performs best for small and moderate amplitudes.