I am conducting research in the field of integrable systems. I am interested in mathematical properties of integrable equations and their applications to various fields of physics and engineering. I mainly deal with discretization (differencing) of integrable equations, and I am conducting research on criteria for determining the integrability of discrete dynamical systems. I also study ultra-discrete systems of equations in which both the independent and dependent variables are discretized.

Integrable systems is a field of mathematics that studies nonlinear differential equations with good symmetry. In general, we cannot construct explicit solutions for nonlinear equations. However, a special class of nonlinear equations, called the integrable systems,can be explicitly solved through various innovative techniques. integrable systems can be made into solutions through various innovations. For example, the KdV equation and the KP equation, which describe the behavior of water surface waves, are important examples of integrable systems, and by applying knowledge from various fields of mathematics, specific solutions such as soliton waves can be constructed.