The Study of Solutions of Several Systems of Nonlinear Partial Differential Difference Equations by Hong Yan Xu, Meiying Yu, Keyu Zhang

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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. …”
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A study of solutions for several classes of systems of complex nonlinear partial differential difference equations in ℂ2 by Jiao Xin, Chen Yu Bin, Xu Hong Yan

“…This article is devoted to describing the entire solutions of several systems of the first-order nonlinear partial differential difference equations (PDDEs). …”
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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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New Perspective on the Conventional Solutions of the Nonlinear Time-Fractional Partial Differential Equations by Hijaz Ahmad, Ali Akgül, Tufail A. Khan, Predrag S. Stanimirović, Yu-Ming Chu

“…This work aims to present a novel approach termed as fractional iteration algorithm-I for finding the numerical solution of nonlinear noninteger order partial differential equations. …”
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Using Homo-Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations by Abdolamir Karbalaie, Hamed Hamid Muhammed, Bjorn-Erik Erlandsson

“…A new method proposed and coined by the authors as the homo-separation of variables method is utilized to solve systems of linear and nonlinear fractional partial differential equations (FPDEs). …”
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Accurate solution estimates for nonlinear nonautonomous vector difference equations by Rigoberto Medina, M. I. Gil'

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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

“…This research focuses on the development of a streamlined numerical technique founded on the hybridization of two shifted polynomial basis functions to address a specific category of nonlinear Partial Differential Equations. Within this approach, a solution based on power series is employed, utilizing Chebyshev and Legendre shifted polynomials to meet the specific conditions of the Partial Differential Equation. …”
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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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Pure Fractional Optimal Control of Partial Differential Equations: Nonlinear, Delay and Two-Dimensional PDEs by Iman Malmir

“…Novel methods for solving the optimal control problems of different and new types of the fractional partial differential equations (PDEs) as: nonlinear PDEs, delay PDEs, and two-dimensional PDEs, are introduced in this paper. …”
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Analog Computing for Nonlinear Shock Tube PDE Models: Test and Measurement of CMOS Chip by Hasantha Malavipathirana, Soumyajit Mandal, Nilan Udayanga, Yingying Wang, S. I. Hariharan, Arjuna Madanayake

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On solutions of certain compatible systems of quadratic trinomial Partial differential-difference equations by R. Mandal, R. Biswas

“…(Entire solutions for several systems of nonlinear difference and partial differential-difference equations of Fermat-type, J. …”
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Solitary Wave Solutions of Nonlinear Integro-Partial Differential Equations of 2+1-Dimensional and Its Models by Daba Meshesha Gusu, Shelama Diro

“…The obtained results have applications in mathematical and applied sciences. It can also solve different nonlinear integro-partial differential equations which have different applications in physical phenomena using this new method. …”
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Approximate analytical solution of a class of highly nonlinear time–fractional-order partial differential equations by Richard Olu Awonusika

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An immersed interface method for nonlinear convection–diffusion equations with interfaces by Miguel Uh Zapata, Reymundo Itza Balam, Silvia Jerez

“…This paper provides an initial framework for developing high-order numerical methods to solve interface problems for nonlinear elliptic partial differential equations. …”
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Constructing and Predicting Solutions for Different Families of Partial Differential Equations: A Reliable Algorithm by Mubashir Qayyum, Amna Khan

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Three Nontrivial Solutions for Second-Order Partial Difference Equation via Morse Theory by Yuhua Long, Huan Zhang

“…In the present paper, we consider a second-order nonlinear partial difference equation with Dirichlet boundary conditions. …”
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Nonlinear dynamic evolution of a novel normalized time-fractional Burgers equation by Junseok Kim

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An Iterative Finite Difference Method for Solving Nonlinear Gordon-Type Problems by Mohamed Ben-Romdhane, Helmi Temimi

“…Extending the original IFD framework for nonlinear ordinary differential equations, we generalize the approach to address nonlinear partial differential equations with time dependence. …”
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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

“…Finding solutions to nonlinear partial differential equations is not easily solvable and hence different modified techniques are applied to get solutions to such nonlinear partial differential equations. …”
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