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Kinetic and thermodynamical interpretation of the conservation laws of a nonlinear Schrödinger equation and other completely integrable systems

Il Nuovo Cimento B Series 11, 1985
A kinetic interpretation of the conservation laws of a class of completely integrable nonlinear evolution equations is obtained by introducing a distribution function depending on the spectral parameter of the inverse spectral transform of the equations.
T. A. Minelli, A. Pascolini
openaire   +1 more source

New explicit soliton and other solutions for the conformable fractional Biswas–Milovic equation with Kerr and parabolic nonlinearity through an integration scheme

Optik, 2018
Abstract In this paper, we derived new explicit complex hyperbolic and complex trigonometric function solutions, especially dark, bright, combined dark–bright, singular, combined singular soliton and other soliton solutions from the conformable fractional Biswas–Milovic equation with Kerr law and Parabolic law nonlinearity that describes the long ...
Mohammadreza Foroutan   +3 more
openaire   +1 more source

Analytic Treatment of Nonlinear Evolution Equations Using First Integral Method

open access: yesPramana - Journal of Physics, 2012
In this paper, we show the applicability of the first integral method to combined KdV-mKdV equation, Pochhammer-Chree equation and coupled nonlinear evolution equations.
Ömer Ünsal, Ahmet Bekir
exaly   +2 more sources

Kinetic and Thermodynamical Interpretation of the Conservation Laws of a Nonlinear Schroedinger Equation and other Completely Integrable Equations

1985
A kinetic interpretation of the conservation laws of a class of completely integrable nonlinear evolution equations is obtained by introducing a distribution function depending on the spectral parameter of the inverse spectral transform of the equations.
MINELLI T. A., PASCOLINI, ALESSANDRO
openaire   +1 more source

Exact Solutions of the Nonlinear Schrödinger Equation by the First Integral Method

Journal of Mathematical Analysis and Applications, 2011
Mohammad Mirzazadeh
exaly  

Computation of Semi-Analytical Solutions of Fuzzy Nonlinear Integral Equations

Advances in Difference Equations, 2020
Dumitru Baleanu, Kamal Shah, Aman Ullah
exaly  

Legendre Wavelets Method for the Nonlinear Volterra–Fredholm Integral Equations

Mathematics and Computers in Simulation, 2005
Mohsen Razzaghi
exaly  

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