Trading during voyage.

Hi.
I'm Israeli citizen and planning a trip to USA for half a year as a tourist (tourist Visa) and maybe a few month tourist-trip to England afterwards. I want to continue trading with American broker from these countries, to pay taxes and do it all legally. Several questions:

1. Can I trade from USA/England being a tourist ? Is trading=working in USA/England? (Working while holding only tourist visa is illegal as I know).

2. Does it matter if I'm trading with American broker or European broker?

2. If it is legal to trade abroad, what taxes do I pay? Do I continue paying Israeli taxes only cause I'm a citizen of this country only or there are other expenses involved?

Thanks!

So I guess noone really trades for a living like mythical Alex Elder and travels with his work wherever he wants ..
Sad.

Did you ask a US broker these questions? They should be the one to know about this.

I don't know about UK, but for US:
Trade as your normally do. Pay no taxes. If your account is registered under your Israel identification, your broker does not report your PnL to the IRS. Do what the savvy players do, evade as much taxes as you can without getting caught.