Attached open strings on a Dp-brane in the backgrounds of the pp-wave and linear dilation

• Behavior of an attached open string on a Dp-brane in the pp-wave background, accompanied by a linear dilaton, has been studied.
• Solvability of equations of motion is worked out.
• Quantization of the model is carried out.

Open strings on a Dp-brane in the pp-wave spacetime, accompanied by a linear dilaton background, will be studied. Various properties of this system such as solvability of equations of motion and quantization will be investigated.