Nonlinear Partial Differential Equations in Mathematics and Physics by Bo-Qing Dong, Caidi Zhao, Xiaohong Qin, Linghai Zhang, Liangpan Li

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Convergence Analysis of an Iterative Method for Nonlinear Partial Differential Equations by Hung-Yu Ke, Ren-Chuen Chen, Chun-Hsien Li

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He-Laplace Method for Linear and Nonlinear Partial Differential Equations by Hradyesh Kumar Mishra, Atulya K. Nagar

“…The method is implemented on linear and nonlinear partial differential equations. It is found that the proposed scheme provides the solution without any discretization or restrictive assumptions and avoids the round-off errors.…”
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Analytical Study of Some Important Generalized Nonlinear Partial Differential Equations by Marwan Alquran, Mahmoud Mohammad, Ahmad Ababneh

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A Method for Generating Approximate Similarity Solutions of Nonlinear Partial Differential Equations by Mazhar Iqbal, M. T. Mustafa, Azad A. Siddiqui

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Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution by Yusuf Pandir, Yusuf Gurefe, Ugur Kadak, Emine Misirli

“…In discussion, we propose a more general trial equation method for nonlinear partial differential equations with generalized evolution.…”
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Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method by Eman M. A. Hilal, Tarig M. Elzaki

“…The aim of this study is to give a good strategy for solving some linear and nonlinear partial differential equations in engineering and physics fields, by combining Laplace transform and the modified variational iteration method. …”
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Approximate Solutions of Nonlinear Partial Differential Equations by Modified q-Homotopy Analysis Method by Shaheed N. Huseen, Said R. Grace

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Exploratory Study of a Green Function Based Solver for Nonlinear Partial Differential Equations by Pablo Solano-López, Jorge Saavedra, Raúl Molina

“…This work explores the numerical translation of the weak or integral solution of nonlinear partial differential equations into a numerically efficient, time-evolving scheme. …”
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Approximate Solution of Fractional Nonlinear Partial Differential Equations by the Legendre Multiwavelet Galerkin Method by M. A. Mohamed, M. Sh. Torky

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Improved General Mapping Deformation Method for Nonlinear Partial Differential Equations in Mathematical Physics by Khaled A. Gepreel

“…This method is more powerful to find the exact solutions for nonlinear partial differential equations.…”
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New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations by Yusuf Pandir, Halime Ulusoy

“…By the using of the generalized hyperbolic functions, new kinds of transformations are defined to discover the exact approximate solutions of nonlinear partial differential equations. Based on the generalized hyperbolic function transformation of the generalized KdV equation and the coupled equal width wave equations (CEWE), we find new exact solutions of two equations and analyze the properties of them by taking different parameter values of the generalized hyperbolic functions. …”
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Hybrid shifted polynomial scheme for the approximate solution of a class of nonlinear partial differential equations by Adewale E. Adenipekun, Adeniyi S. Onanaye, Olawale J. Adeleke, Muideen O. Ogunniran

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Continuum Modeling and Control of Large Nonuniform Wireless Networks via Nonlinear Partial Differential Equations by Yang Zhang, Edwin K. P. Chong, Jan Hannig, Donald Estep

“…We introduce a continuum modeling method to approximate a class of large wireless networks by nonlinear partial differential equations (PDEs). This method is based on the convergence of a sequence of underlying Markov chains of the network indexed by N, the number of nodes in the network. …”
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New Traveling Wave Solutions of the Higher Dimensional Nonlinear Partial Differential Equation by the Exp-Function Method by Hasibun Naher, Farah Aini Abdullah, M. Ali Akbar

“…The obtained results show that the Exp-function method is effective and straightforward mathematical tool for searching analytical solutions with arbitrary parameters of higher-dimensional nonlinear partial differential equation.…”
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New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method by A. Aasaraai

“…To start with, having employed transformation wave, some nonlinear partial differential equations have been converted into an ODE. …”
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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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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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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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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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