Some Non-Linear Evolution Equations and Their Explicit Smooth Solutions with Exponential Growth Written into Integral Form

Some Non-Linear Evolution Equations and Their Explicit Smooth Solutions with Exponential Growth Written into Integral Form

In this paper, exact solutions of semilinear equations having exponential growth in the space variable <i>x</i> are found. Semilinear Schrödinger equation with logarithmic nonlinearity and third-order evolution equations arising in optics with logarithmic and power-logarithmic nonlineari...

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Bibliographic Details
Main Authors: Petar Popivanov, Angela Slavova
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Mathematics
Subjects:
semilinear parabolic equation
semilinear Schrödinger equation
logarithmic nonlinearity
parabolic equations with solutions of exponential growth
solutions into explicit form
special functions of Jacobi type
Online Access:https://www.mdpi.com/2227-7390/12/7/1003

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