Nonlinear equations for p-adic open, closed, and open-closed strings

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dc.creatorVladimirov, V. S.
dc.date2007-05-31
dc.date.accessioned2026-07-07T10:35:59Z
dc.date.available2026-07-07T10:35:59Z
dc.descriptionWe 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 field 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.
dc.description16 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0705.4600
dc.identifierhttp://arxiv.org/abs/0705.4600
dc.identifierTheor.Math.Phys.149:1604-1616,2006; Teor.Mat.Fiz.149:354-367,2006
dc.identifierdoi:10.1007/s11232-006-0144-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179909
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectAnalysis of PDEs
dc.titleNonlinear equations for p-adic open, closed, and open-closed strings
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