A Least Squares Differential Quadrature Method for a Class of Nonlinear Partial Differential Equations of Fractional Order by Constantin Bota, Bogdan Căruntu, Dumitru Ţucu, Marioara Lăpădat, Mădălina Sofia Paşca

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Analytical solutions to new forms of two nonlinear partial differential equations via two variable expansion method by Sümeyra Kara, Ömer Ünsal

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Employing a Modified Sumudu with a Modified Iteration Method to Solve the System of Nonlinear Partial Differential Equations by Junaid Idrees Mustafa

“…The Sumudu transform is presented in this paper in a modified form which is aimed at improving its performance and employing it along with a modified iteration method in order to determine the solution to a system of nonlinear partial differential equations. This includes a theoretical analysis of the associated modified Sumudu transform. …”
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A hybrid yang transform adomian decomposition method for solving time-fractional nonlinear partial differential equation by Alemu Senbeta Bekela, Alemayehu Tamirie Deresse

Subjects: “…Time-fractional nonlinear partial differential equations…”
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Kink Wave Phenomena in the Nonlinear Partial Differential Equation Representing the Transmission Line Model of Microtubules for Nanoionic Currents by Safyan Mukhtar, Weaam Alhejaili, Mohammad Alqudah, Ali M. Mahnashi, Rasool Shah, Samir A. El-Tantawy

“…This paper provides several new traveling wave solutions for a nonlinear partial differential equation (PDE) by applying symbolic computation and a new approach, the Riccati–Bernoulli sub-ODE method, in a computer algebra system. …”
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Exact Solutions of Nonlinear Partial Differential Equations via the New Double Integral Transform Combined with Iterative Method by Shams A. Ahmed, Ahmad Qazza, Rania Saadeh

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Solving Nonlinear Partial Differential Equations of Special Kinds of 3rd Order Using Balance Method and Its Models by Daba Meshesha Gusu, Wakjira Gudeta

“…Most nonlinear partial differential equations have many applications in the physical world. …”
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Novel waves structures for two nonlinear partial differential equations arising in the nonlinear optics via Sardar-subequation method by Naeem Ullah, Muhammad Imran Asjad, Abid Hussanan, Ali Akgül, Wedad R. Alharbi, H. Algarni, I.S. Yahia

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Exact Traveling Wave Solutions of Certain Nonlinear Partial Differential Equations Using the G′/G2-Expansion Method by Sekson Sirisubtawee, Sanoe Koonprasert

“…We apply the G′/G2-expansion method to construct exact solutions of three interesting problems in physics and nanobiosciences which are modeled by nonlinear partial differential equations (NPDEs). The problems to which we want to obtain exact solutions consist of the Benny-Luke equation, the equation of nanoionic currents along microtubules, and the generalized Hirota-Satsuma coupled KdV system. …”
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A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations by Bülent Kiliç, Hasan Bulut

“…A new method with a different auxiliary equation from the Riccati equation is used for constructing exact travelling wave solutions of nonlinear partial differential equations. The main idea of this method is to take full advantage of a different auxilliary equation from the Riccati equation which has more new solutions. …”
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Solving Nonlinear Partial Differential Equations By Using Adomian Decomposition Method, Modified Decomposition Method And Laplace Decomposition Method by Ömer Faruh Gözükızıl, Hami Gündoğdu

“…And then, the inhomogeneous Boussinesq equation and another nonlinear partial differential equation subject to given initial values are solved by using LDM. …”
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Closed-Form Solutions for a Nonlinear Partial Differential Equation Arising in the Study of a Fourth Grade Fluid Model by Taha Aziz, F. M. Mahomed

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Painlevé analysis, Bäcklund transformation and Exact solutions for the (3+1)-dimensional nonlinear partial differential equation represented by Burgers’ equation by M.H.M. Moussa, Zidan M. Abd Al-Halim

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The Numerical Solution of Singularly Perturbed Nonlinear Partial Differential Equations in Three Space Variables: The Adaptive Explicit Inverse Preconditioning Approach by Anastasia-Dimitra Lipitakis

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Numerical solution of second-order nonlinear partial differential equations originating from physical phenomena using Hermite based block methods by Emmanuel Oluseye Adeyefa, Ezekiel Olaoluwa Omole, Ali Shokri

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Active and Purely Dissipative Nambu Systems in General Thermostatistical Settings Described by Nonlinear Partial Differential Equations Involving Generalized Entropy Measures by T. D. Frank

“…In general, the free energy Fokker–Planck equations associated with these generalized entropy measures correspond to nonlinear partial differential equations. Irrespective of the entropy-related nonlinearities occurring in these nonlinear partial differential equations, it is shown that semi-analytical solutions for the stationary probability densities of the active Nambu systems can be obtained provided that the pumping mechanisms of the active systems assume the so-called canonical-dissipative form and depend explicitly only on Nambu invariants. …”
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Interpolating wavelet method for solving nonlinear partial differential equations(解非线性偏微分方程的插值小波算法) by ZHUJing-fen(朱静芬), DENGXiao-yan(邓小炎)

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A fractional mathematical model with nonlinear partial differential equations for transmission dynamics of severe acute respiratory syndrome coronavirus 2 infection by Hayman Thabet, Subhash Kendre

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A novel formulation of the fuzzy hybrid transform for dealing nonlinear partial differential equations via fuzzy fractional derivative involving general order by M. S. Alqurashi, Saima Rashid, Bushra Kanwal, Fahd Jarad, S. K. Elagan

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Application Of Waterloo Maple 9.5 And Wolfram Mathematica 5.1 Software For Analytic Solving Of Certain Nonlinear Partial Differential Equations Of Physics by Łukasz T. Stępień

Subjects: “…nonlinear partial differential equations; analytic solutions; exact solutions; Navier-Stokes equation; Monge-Ampere equation; steady isentropic flow equation…”
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