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Integrability, invariant and soliton solutions of generalized Kadomtsev-Petviashvili-modified equal width equation

Hashemi, M. S.; Haji-Badali, A.; Alizadeh, F.; Baleanu, Dumitru (Elsevier GMBH, 2017)

In this paper, the Painleve analysis is applied to test the integrability of the generalized Kadomtsev-Petviashvili-modified equal width (KP-MEW) equation with time dependent coefficients. Symmetry reductions and some ...
Investigation of wave solutions and conservation laws of generalized Calogero–Bogoyavlenskii–Schiff equation by group theoretic method

Jarad; Jhangeer, Adil; Awrejcewicz, Jan; Riaz, Muhammad Bilal; Junaid-U, Rehman M. (2022-06)

This work is focused to analyze the generalized Calogero–Bogoyavlenskii–Schiff equation (GCBSE) by the Lie symmetry method. GCBS equation has been utilized to explain the wave profiles in soliton theory. GCBSE was constructed ...
On Exact Solutions For New Coupled Non-Linear Models Getting Evolution Of Curves in Galilean Space

Baleanu, Dumitru (Vinca Inst Nuclear Sci, 2019)

In this work, the new coupled non-linear partial differential equations (CNLPDE) getting the time evolution of the curvatures of the evolving curve are derived in the Galilean space. Exact solutions for these new CNLPDE ...
Optical Solitary Wave Solutions for the Conformable Perturbed Nonlinear Schrodinger Equation With Power Law Nonlinearity

İnç, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa; Gülşen, Selahattin; Baleanu, Dumitru (Amer Scientific Publishers, 2018-03)

In this study, we apply three integration schemes to extract optical soliton solutions for the conformable perturbed nonlinear Schrodinger equation (CPNLSE) with power law nonlinearity (PLN). The integration schemes that ...
Some new soliton-like and doubly periodic-like solutions of Fisher equation with time-dependent coefficients

Latif, M. S. Abdel; El-Shazly, E.; Baleanu, Dumitru; Elsaidi, A.; Nour, H. M. (World Scientific Publ CO PTE LTD, 2018-11-30)

In this paper, the group classification is presented for Fisher equation with time-dependent coefficients. The analysis provided many new solutions that take the form of doubly periodic-like solutions and soliton-like solutions.
Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws

Baleanu, Dumitru; İnç, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa (Springer Open, 2018-02-02)

This article uses the extension of the Lie symmetry analysis (LSA) and conservation laws (Cls) (Singla et al. in Nonlinear Dyn. 89(1):321-331, 2017; Singla et al. in J. Math. Phys. 58: 051503, 2017) for the space-time ...
Symmetry Analysis, Explicit Solutions, and Conservation Laws of a Sixth-Order Nonlinear Ramani Equation

Aliyu, Aliyu Isa; İnç, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru (MDPI, 2018-08)

In this work, we study the completely integrable sixth-order nonlinear Ramani equation. By applying the Lie symmetry analysis technique, the Lie point symmetries and the optimal system of one-dimensional sub-algebras of ...

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Browsing by Subject "Lie Symmetry Analysis"

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