Boil the buckwheat noodles, rinse with cold water, and drain well.
Julienne the cucumber and carrot, and cut the cherry tomatoes in half.
In a bowl, mix soy milk, soy sauce, vinegar, and sesame oil to make the sauce.
Place the buckwheat noodles in a bowl and top with the prepared vegetables.
Pour the soy milk sauce over and mix everything well before eating.