I like to play at the beach chasing the [...] by the shoreline.
I think tides isn't the word, because it refers to the slow changes on the shore. And waves, I think they are bigger and are in the sea?
I like to play at the beach chasing the [...] by the shoreline.
I think tides isn't the word, because it refers to the slow changes on the shore. And waves, I think they are bigger and are in the sea?
I've always called it surf.
the mass or line of foam formed by waves breaking on a seashore or reef.
Definition from Oxford Dictionary
You can also call them- breaker, breakers, or surf
In British English, I would call the dying flow of a wave on a beach wash.
Google also appears to confirm this:
noun: wash
the surging of water or breaking of waves or the sound made by this.
"the wash of waves on the pebbled beach"
synonyms: surge, flow, swell, sweep, rise and fall, roll, splash
Although this may be incorrect, and more correctly attributed to the sound. From the Oxford English Dictionary entry for wash
c. The sound of the surge of water.
1845 J. Coulter Adventures Pacific ix. 109, I..listened to the wash of the briny element on the beach.
1871 H. W. Longfellow in S. Longfellow Life H. W. Longfellow (1891) III. 177 The low wash of the sea very soothing.
1873 W. Black Princess of Thule iii. 45 The wash of the ripples along the coast could be heard.
1918 Blackwood's Mag. June 717/2 The wash of the swell on rocks met my ear.
I found a site on surfing in Hawaii that calls that backwash, whitewash, and soup.
"Surf" has been accepted as an answer, and "waves" has been proposed a few times, but both words refer to a far broader concept than what the OP asks about.
A "wave" is the rolling shape which is formed far out at sea by the action of the wind on the surface of the water. None of the water in waves actually moves very far, it is the shape which is propagates towards land.
"Waves" become "surf" from the point at which they first begin to break (according to the dictionary, and in general surfer parlance), although of course they'll still be referred to as "waves".
Finally, when surf reaches shallow water, and the rotational force of the original wave has been eliminated by friction with the shore and the air, it is reduced to a surge of foamy water which washes up the beach, and the recedes again, referreed to as "swash" on the way in, and "backwash" on the way out. (Wikipedia page for Swash)
Acknowledging that wave and surf might also fit the purpose...
Wave run-up and run-out are terms that I think correspond to what you are talking about - the almost flat influx of water at the far reach of a wave on the beach.
A technical term that could easily be used is swash, the inrush of water due to a wave.
An associated term that I like and rarely see is spume, the froth caused by wave/surf action.
Wavelets would be accurate. I like to play at the beach chasing the [wavelets] by the shoreline.
A possible variant is beachcomber, from Oxford Dictionary:
A long wave rolling in from the sea
Though I think this word is much more often used in its other meaning:
A vagrant who makes a living by searching beaches for articles of value and selling them.
I would simply go with wave.