Infinitely Narrow Soliton Solutions to Systems of Conservation Laws
نویسندگان
چکیده
We construct an infinitely narrow N-soliton solution in an associated sense to a system of conservation laws in the frame of Colombeau’s generalized functions with arbitrary initial data which are infinitely narrow solitons. With additional assumptions on the first derivatives of initial data, the solution is modified so that it also becomes the solution to the system of conservation laws in the sense of pointwise equality also. AMS Mathematics Subject Classification (1991): 35D05, 35L65, 46F10
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تاریخ انتشار 2002