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On head-on collision between two solitary waves in shallow water: the use of the extended PLK method
(Springer, 2015-10-01)
In the present work, we examined the head-on collision of solitary waves in shallow water theory, through the use of extended Poincare–Lighthill–Kuo (PLK) method based on the combination of reductive perturbation method ...
Re-visiting the head-on collision problem between two solitary waves in shallow water
(PERGAMON-ELSEVIER SCIENCE LTD, 2015-03)
Upon discovering the wrongness of the statement "although this term does not cause any secularity for this order it will cause secularity at higher order expansion, therefore, that term must vanish" by Su and Mirie [4], ...
Head-on collision of the solitary waves in fluid-filled elastic tubes
(Turkic World Mathematical Soc, 2018-01-01)
In the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the head-on collision of solitary waves in arteries. Introducing a set of stretched coordinates ...