Abstract:
Many new local classical solutions have been constructed to one-dimensional inhomogeneous wave equation with the necessary (minimum sufficient) smoothness of its right-hand side in the curvilinear first quarter of the plane. They are derived by the correction method of test generalized solutions proposed earlier by the author. In the curvilinear first quarter of the plane, the general integrals (general solutions) to the inhomogeneous wave equation are calculated in the set of classical solutions. Using each of the constructed local equation solutions, the calculation of the general integral to the inhomogeneous wave equation in the curvilinear first quarter of the plane reduces to the general integral of the homogeneous wave equation.
Keywords:curvilinear quarter of the plane, method for adjusting trial solutions, local classical solution, general integral of the equation.
