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Spatiotemporal Soliton Interaction of Saturable Nonlinear Schrödinger Equations in Spatial Dimensions Higher Than 1

icon-email Quan M. Nguyen , Toan T. Huynh

Abstract

We derive an expression for the collision-induced amplitude dynamics in a fast collision between two (N + 1) −dimensional spatiotemporal solitons in saturable nonlinear media with weak perturbations in a spatial dimension of N, where N ≥ 1. The perturbed spatiotemporal soliton evolution is under a framework of the coupled saturable (N + 1 + 1) −dimensional nonlinear Schrödinger equations in the presence of weakly nonlinear loss and delayed Raman response. The perturbation approach is based on an extended perturbation technique for analyzing the collision-induced dynamics of one-dimensional temporal solitons and two-dimensional solitons. The accuracy of our theoretical calculations is validated by numerical simulations of the interaction of two 3D spatiotemporal solitons, also known as two light bullets, of the coupled nonlinear Schrödinger equations in the presence of delayed Raman response and cubic loss.

Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam

Địa chỉ: Số 18 đường Hoàng Quốc Việt, quận Cầu Giấy, Hà Nội

Điện thoại: 024 37563474 - Fax: 024 37564303

Email: vientoan@math.ac.vn

Viện nghiên cứu cao cấp về toán Hội Toán học Mỹ MathScinet Thư viện số (VAST) Arxiv
Lịch hoạt động chung Lịch sử dụng phòng, hội trường, hội thảo Ảnh hoạt động
Giới thiệu Đăng nhập Đăng ký tài khoản Quên mật khẩu Chính sách bảo mật
Messages2TimelineExceptionsViews8RouteQueries108Models431MailsGateSessionRequest
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      • 20. view::22404baedef17ea59e3ac1e1ef4f69087a37cb5d:31
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
      Backtrace
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      Metadata
      Backtrace
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
      Backtrace
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      Metadata
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      Metadata
      Backtrace
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