Harley,
it should work but you need to work through some figures first. If the amp is class A [?] or perhaps AB biased to A, it will probably need a fair amount of power/watts to run it. If you choose to use solar charging you'll need to have enough stored power not to draw your batteries down below about 80% charge while they're in action [and the panel isn't recharging your battery]. This might mean you need a huge battery or several batteries to do the task at which point things start to get complicated for various reasons.
In addition, while a 5W panel can deliver 35W hr over a day, it might still not be quite enough for the amp you're considering. You could use a larger panel of course and there's a fantastic choice of really high quality voltage regulators available for battery charging so it's all quite possible with solar but if cost is important it would probably be wiser to use a mains/grid battery charging system that can work while you're using the amp.
In short, before you go any further, find out what current the amp draws .......
Jules