TY - JOUR
T1 - Self-focusing dynamics of patches of ripples
AU - Milewski, P. A.
AU - Wang, Z.
N1 - Funding Information:
The authors gratefully acknowledge support from EPSRC under grants EP/J019321/1 (PAM) and EP/J019569/1 (ZW), National Natural Science Foundation of China under grant 11232012 (ZW), and a Royal Society Wolfson award (PAM).
Funding Information:
The authors gratefully acknowledge support from EPSRC under grants EP/J019321/1 (PAM) and EP/J019569/1 (ZW), National Natural Science Foundation of China under grant 11232012 (ZW), and a Royal Society Wolfson award (PAM) .
Publisher Copyright:
© 2016 The Authors
PY - 2016/10/15
Y1 - 2016/10/15
N2 - The dynamics of focussing of extended patches of nonlinear capillary–gravity waves within the primitive fluid dynamic equations is presented. It is found that, when the envelope has certain properties, the patch focusses initially in accordance to predictions from nonlinear Schrödinger equation, and focussing can concentrate energy to the vicinity of a point or a curve on the fluid surface. After initial focussing, other effects dominate and the patch breaks up into a complex set of localised structures–lumps and breathers–plus dispersive radiation. We perform simulations both in the inviscid regime and for small viscosities. Lastly we discuss throughout the similarities and differences between the dynamics of ripple patches and self-focussing light beams.
AB - The dynamics of focussing of extended patches of nonlinear capillary–gravity waves within the primitive fluid dynamic equations is presented. It is found that, when the envelope has certain properties, the patch focusses initially in accordance to predictions from nonlinear Schrödinger equation, and focussing can concentrate energy to the vicinity of a point or a curve on the fluid surface. After initial focussing, other effects dominate and the patch breaks up into a complex set of localised structures–lumps and breathers–plus dispersive radiation. We perform simulations both in the inviscid regime and for small viscosities. Lastly we discuss throughout the similarities and differences between the dynamics of ripple patches and self-focussing light beams.
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U2 - 10.1016/j.physd.2016.03.010
DO - 10.1016/j.physd.2016.03.010
M3 - Article
AN - SCOPUS:84962835794
SN - 0167-2789
VL - 333
SP - 235
EP - 242
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
ER -