期刊
THEORETICAL AND MATHEMATICAL PHYSICS
卷 149, 期 3, 页码 1604-1616出版社
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1007/s11232-006-0144-z
关键词
string; tachyon
We investigate the structure of solutions of boundary value problems for a one-dimensional nonlinear system of pseudodifferential equations describing the dynamics (rolling) of p-adic open, closed, and open-closed strings for a scalar tachyon held using the method of successive approximations. For an open-closed string, we prove that the method converges for odd values of p of the form p = 4n + 1 under the condition that the solution for the closed string is known. For p = 2, we discuss the questions of the existence and the nonexistence of solutions of boundary value problems and indicate the possibility of discontinuous solutions appearing.
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