Published 2021
| Version v1
Book
Solution in the form of periodic and single waves of the generalized Schroedinger equation
Creators
- 1. Natsional'nyj Issledovatel'skij Yadernyj Univ. MIFI, Moscow (Russian Federation)
Description
In this paper, the generalized nonlinear Schroedinger equation taking into account the third order is considered. This is a nonlinear partial differential equation which can be used for describing pulses in optical fibers. The Cauchy problem for it is not solved by the inverse scattering transform; the solution of the equation is considered taking the travelling wave into account. Taking into account the variables of the traveling wave, we obtain a system of differential equations for the imaginary and real parts, respectively. An analytical solution is found, expressed in terms of the Jacobi elliptic function
Abstract (Russian)
Рассмотрено обобщенное нелинейное уравнения Шредингера с учетом производной третьего порядка, которое может использоваться при описании распространения импульсов в оптическом волокне. Задача Коши для этого уравнения не решается методом обратной задачи рассеяния, поэтому решение уравнения ищется в переменных бегущей волны. Принимая во внимание эти переменные, получена система дифференциальных уравнений для мнимой и действительной части. Найдены аналитические решения, выраженные через экспоненциальную функцию и эллиптическую функцию ЯкобиAdditional details
Additional titles
- Original title (Russian)
- Решение в виде периодических и уединенных волн обобщенного уравнения Шредингера
Publishing Information
- Publisher
- NIYaU MIFI
- Imprint Place
- Moscow (Russian Federation)
- ISBN
- 978-5-7262-2767-2
- Imprint Title
- VII International conference #Left-Pointing Double Angle Quotation Mark#Laser, plasma research and technologies#Right-Pointing Double Angle Quotation Mark# LaPlaz-2021. Collection of scientific papers. Part 1
- Imprint Pagination
- 460 p.
- Journal Page Range
- p. 96-97
Conference
- Title
- VII International conference #Left-Pointing Double Angle Quotation Mark#Laser, plasma research and technologies#Right-Pointing Double Angle Quotation Mark# LaPlaz-2021
- Original Conference Title
- VII Mezhdunarodnaya konferentsiya «Lazernye, plazmennye issledovaniya i tekhnologii» LaPlaz-2021
- Dates
- 23-26 Mar 2021
- Place
- Moscow (Russian Federation)
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- Russian Federation
- INIS RN
- 55088054
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- CAUCHY PROBLEM; COMPARATIVE EVALUATIONS; JACOBIAN FUNCTION; NONLINEAR PROBLEMS; OPTICAL FIBERS; PULSES; SCHROEDINGER EQUATION; TRAVELLING WAVES
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; EVALUATION; FIBERS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS
Optional Information
- Notes
- 4 refs. Imprint:VII Mezhdunarodnaya konferentsiya #Left-Pointing Double Angle Quotation Mark#Lazernye, plazmennye issledovaniya i tekhnologii#Right-Pointing Double Angle Quotation Mark# LaPlaz-2021. Sbornik nauchnykh trudov. Chast' 1