<p>The extensive aim for this study is to investigate Gaussons for generalized nonlinear Schrödinger equation, equipped with logarithmic non linearity and variable coefficients, depicting the propagation of optical pulses very precisely. A specific hypothesis has been implemented to the governing model with help of ansatz method, for discovering Gaussons. Most remarkable physical finding from this study that time dependent coefficients and logarithmic non linearity leads to the time-dependent dispersion relation for considered model and also the phase function is the linear function of the wave number, resulting into the derivation of numerous Gaussons encompassing a diverse range of wave patterns and behaviors inherent for the considered equation. Additionally, graphical illustrations are presented as an invaluable tool for clarifying intricate on linear as well as nonlinear processes and validating theoretical hypotheses, thus highlighting the relevance of Gausson structures across various scientific fields.</p>

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Gaussons for generalized nonlinear Schrödinger equation equipped with logarithmic nonlinearity and variable coefficients, depicting the propagation of optical pulses

  • Lakhveer Kaur,
  • Abdul-Majid Wazwaz

摘要

The extensive aim for this study is to investigate Gaussons for generalized nonlinear Schrödinger equation, equipped with logarithmic non linearity and variable coefficients, depicting the propagation of optical pulses very precisely. A specific hypothesis has been implemented to the governing model with help of ansatz method, for discovering Gaussons. Most remarkable physical finding from this study that time dependent coefficients and logarithmic non linearity leads to the time-dependent dispersion relation for considered model and also the phase function is the linear function of the wave number, resulting into the derivation of numerous Gaussons encompassing a diverse range of wave patterns and behaviors inherent for the considered equation. Additionally, graphical illustrations are presented as an invaluable tool for clarifying intricate on linear as well as nonlinear processes and validating theoretical hypotheses, thus highlighting the relevance of Gausson structures across various scientific fields.