Abstract

In this study, three coupled higher‐order long‐wave short‐wave interaction (HOLSI) equations are derived in a cubically nonlinear dispersive elastic medium by using an asymptotic expansion method. To this end, it is observed that the coupled higher‐order nonlinear Schrödinger (CHONLS) system is not valid for a case where the phase velocity of the long longitudinal wave is equal to the group velocity of the short transverse waves.

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