[HTML][HTML] General propagation lattice Boltzmann model for a variable-coefficient compound KdV-Burgers equation

ZZ Lan, WQ Hu, BL Guo - Applied Mathematical Modelling, 2019 - Elsevier
In this paper, a general propagation lattice Boltzmann model for a variable-coefficient
compound Korteweg-de Vries-Burgers (vc-cKdVB) equation is investigated through …

Lie group classification of generalized variable coefficient Korteweg-de Vries equation with dual power-law nonlinearities with linear damping and dispersion in …

OD Adeyemo, CM Khalique - Symmetry, 2022 - mdpi.com
Many physical phenomena in fields of studies such as optical fibre, solid-state physics,
quantum field theory and so on are represented using nonlinear evolution equations with …

Investigation of bright and dark solitons in α, β-Fermi Pasta Ulam lattice

NO Nfor, SB Yamgoué, FMM Kakmeni - Chinese Physics B, 2021 - iopscience.iop.org
We consider the Hamiltonian of α, β-Fermi Pasta Ulam lattice and explore the Hamilton–
Jacobi formalism to obtain the discrete equation of motion. By using the continuum limit …

On µ-symmetries, µ-reductions, and µ-conservation laws of Gardner equation

Ö Orhan, T Özer - Journal of nonlinear mathematical physics, 2019 - Taylor & Francis
In this study, we represent an application of the geometrical characterization of µ-
prolongations of vector fields to the nonlinear partial differential Gardner equation with …

Exact solutions and conservation laws of the time-fractional gardner equation with time-dependent coefficients

R Li, L Li - Symmetry, 2021 - mdpi.com
In this paper, we employ the certain theory of Lie symmetry analysis to discuss the time-
fractional Gardner equation with time-dependent coefficients. The Lie point symmetry is …

[PDF][PDF] Lineer Olmayan Dalga Denkleminin Lie Grupları Analizi

S Özer - Marmara Fen Bilimleri Dergisi, 2018 - dergipark.org.tr
Keyfi fonksiyonlar ya da parametreler içeren denklem kümesini, denklem ailesi olarak
adlandırsak, ailenin üyeleri arasında geçişi mümkün kılan dönüşümler eşdeğerlik …

[PDF][PDF] Journal of Nonlinear Mathematical Physics

Ö Orhan, T Özer - Journal of Nonlinear Mathematical Physics, 2019 - academia.edu
In this study, we represent an application of the geometrical characterization of µ-
prolongations of vector fields to the nonlinear partial differential Gardner equation with …