Inthispaper,weintroducethereducedmatrixinkqrepresentationandprovidethereducedmatrixelementsofaprojectionoperatorPontherationalnoncommutativeorbifoldT2/Z4.wegivetheclosedformfortheprojectorbyJacobiellipticalfunctions.Sinceprojectorscorrespondtosolitonsolutionsofthefieldtheoryonthenoncommutativeorbifold,wethuspresentacorrespondingsolitonsolution.
