… Introducing Rayleigh's dissipative function we derive a set of … the effects of perturbations,
namely, dissipative loss, IPRS … We begin the analysis by considering case (i) and solve the Eqs. …

… by Lord Rayleigh (1876) who showed that if dissipation is … on perturbations of soliton systems
are important problems to … solitary wave solutions of the great classes of soliton equations …

… spectral domain have the shape of Rayleigh–Jeans distribution for a … under consideration:
DS solutions of the complex nonlinear … That introduces an additional stabilization mechanism …

… ) to approximate derivatives of complex functions. Then, we solve the algebraic system
resulting … To simulate the propagation of these perturbed soliton waves, also called quasi-soliton …

… characterized by the so-called Rayleigh-Jeans distribution of … II we introduce the concept of
soliton gas, from rarefied to dense… First we recall that the N-soliton limit of an N-gap solution is …

… The introduction of a new concept “Soliton”, first discovered by John Scott … Rayleigh’s
dissipation function in physical systems in general [15]. They solved the loss and filtering problems …

… The statistical aspects of different soliton systems are vital in the main studies of integrable
… for UNLSE and mUNLSE via Rayleigh distribution. We introduce new stochastic solutions for …

… The perturbation is dealt with by introducing Rayleigh’s dissipation function in the framework
of … We also extend the variational approach to solve a two-soliton interaction problem in the …

… an introduction to the fascinating topic of optical solitons in … methods to solve the fiber loss
problem and the soliton idea … The soliton perturbation theory can be used for small values of …

… However, Boussinesq and Rayleigh’s work still … of the perturbation’s force as well as
frequency. Therefore in the segment, we want to know the sensitivity for the solution of the perturbed …