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"Intersubjective, relational affect-focused psychotherapy is not the 'talking cure' but the 'affect communicating cure.'"
— Allan Schore

Christine Caldwell
This work by Christine Caldwell is a good introduction to get an idea of what somatic therapies can be.
Christine Caldwell is notably founder of the somatic psychology department at Naropa University in Boulder, Colorado, which offers one of the rare Master's degrees in Somatic Psychotherapy.
In any case, this work presents the diversity of these therapies, those being closer to body-work, those closer to talk therapy. Those that are more oriented toward relational aspects, those that draw on imagery, ...
Something that brings all these approaches together is that they are experiential and that they involve the body.