Lie symmetry analysis and exact solutions of generalized fractional Zakharov-Kuznetsov equations

C Li, J Zhang - Symmetry, 2019 - mdpi.com
This paper considers the Lie symmetry analysis of a class of fractional Zakharov-Kuznetsov
equations. We systematically show the procedure to obtain the Lie point symmetries for the …

A complete Lie symmetry classification of a class of (1+ 2)-dimensional reaction-diffusion-convection equations

R Cherniha, M Serov, Y Prystavka - Communications in Nonlinear Science …, 2021 - Elsevier
A class of nonlinear reaction-diffusion-convection equations describing various processes in
physics, biology, chemistry etc. is under study in the case of time and two space variables …

Local conservation laws, symmetries, and exact solutions for a Kudryashov‐Sinelshchikov equation

MS Bruzón, E Recio, R de la Rosa… - … Methods in the …, 2018 - Wiley Online Library
In this paper, we consider a Kudryashov‐Sinelshchikov equation that describes pressure
waves in a mixture of a liquid and gas bubbles taking into consideration the viscosity of …

[HTML][HTML] Conservation laws for a generalized seventh order KdV equation

MS Bruzón, AP Márquez, TM Garrido, E Recio… - … of Computational and …, 2019 - Elsevier
In this paper, by applying the multiplier method we obtain a complete classification of low-
order local conservation laws for a generalized seventh-order KdV equation depending on …

On the similarity solutions and conservation laws of the Cooper‐Shepard‐Sodano equation

MS Bruzón, E Recio, TM Garrido… - … Methods in the …, 2018 - Wiley Online Library
In this paper, for the Cooper‐Shepard‐Sodano equation, some conservation laws are
obtained by applying the multiplier method. Furthermore, we study this equation from the …

Line-solitons, line-shocks, and conservation laws of a universal KP-like equation in 2+ 1 dimensions

SC Anco, ML Gandarias, E Recio - Journal of Mathematical Analysis and …, 2021 - Elsevier
A universal KP-like equation in 2+ 1 dimensions, which models general nonlinear wave
phenomena exhibiting p-power nonlinearity, dispersion, and small transversality, is studied …

Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion

MS Bruzón, E Recio, TM Garrido… - arXiv preprint arXiv …, 2024 - arxiv.org
We provide a complete classification of point symmetries and low-order local conservation
laws of the generalized quasilinear KdV equation in terms of the arbitrary function. The …

[HTML][HTML] A study of energy conditions in non-static spherically symmetric spacetimes via Noether symmetries

T Hussain, SS Akhtar, AH Bokhari - Journal of Mathematical Analysis and …, 2020 - Elsevier
In this article, we have studied different energy conditions in non-static spherically symmetric
spacetimes through Noether symmetries. The Lagrangian corresponding to the non-static …

Lie symmetries and conservation laws for the viscous Cahn-Hilliard equation

AP Márquez, E Recio, ML Gandarias - Symmetry, 2022 - mdpi.com
In this paper, we study a viscous Cahn–Hilliard equation from the point of view of Lie
symmetries in partial differential equations. The analysis of this equation is motivated by its …

Conservation laws and line soliton solutions of a family of modified KP equations

SC Anco, ML Gandarias, E Recio - arXiv preprint arXiv:1902.06365, 2019 - arxiv.org
A family of modified Kadomtsev-Petviashvili equations (mKP) in 2+ 1 dimensions is studied.
This family includes the integrable mKP equation when the coefficients of the nonlinear …