Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas bubbles
DOI10.1186/S13661-024-01921-8MaRDI QIDQ6640217
F. Alizadeh, Evren Hincal, K. Hosseini, Sekson Sirisubtawee
Publication date: 18 November 2024
Published in: Boundary Value Problems (Search for Journal in Brave)
bifurcation analysisinvariant solutionsJacobi elliptic function solutions3D-modified nonlinear wave equationclassical and nonclassical Lie symmetries
Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Traveling wave solutions (35C07) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06) Higher-order semilinear hyperbolic equations (35L76) Classical solutions to PDEs (35A09)
Cites Work
- Title not available (Why is that?)
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- Title not available (Why is that?)
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Dynamics of a liquid with gas bubbles
- Symmetry and integration methods for differential equations
- A simple transformation for nonlinear waves.
- Nonclassical symmetry analysis, conservation laws of one-dimensional macroscopic production model and evolution of nonlinear waves
- Nonclassical potential symmetry analysis and exact solutions for a thin film model of a perfectly soluble anti-surfactant solution
- Lump wave and hybrid solutions of a generalized (3 + 1)-dimensional nonlinear wave equation in liquid with gas bubbles
- Exact analytic solitary wave solutions for the RKL model
- Dynamical analysis of nonlocalized wave solutions of \((2 + 1)\)-dimensional CBS and RLW equation with the impact of fractionality and free parameters
- The integrability of a \((2+1)\)-dimensional nonlinear wave equation: Painlevé property, multi-order breathers, multi-order lumps and hybrid solutions
- Applying a new algorithm to derive nonclassical symmetries
- Lie group theory, stability analysis with dispersion property, new soliton solutions and conserved quantities of 3D generalized nonlinear wave equation in liquid containing gas bubbles with applications in mechanics of fluids, biomedical sciences and cell biology
- Non‐classical Lie symmetries for nonlinear time‐fractional Heisenberg equations
- An extended \((2 + 1)\)-dimensional coupled Burgers system in fluid mechanics: symmetry reductions; Kudryashov method; conservation laws
- Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology
- Novel soliton molecules, periodic wave and other diverse wave solutions to the new (2 + 1)-dimensional shallow water wave equation
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