nonlinear partial differential equations
A Modification of Fan Sub-Equation Method for Nonlinear Partial Differential Equations
... of nonlinear partial differential equations (PDEs) plays an important role in the study of nonlinear physical phenomena in many fields such as fluid dynamics, plasma physics and ...
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The combined of Homotopy analysis method with new transform for nonlinear partial differential equations
... the nonlinear partial differential equations by combining them with the so-called homotopy analysis method ...other nonlinear partial differential ...
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Adomian decomposition method and application on solving nonlinear partial differential equations and nonlinear system partial equation
... the nonlinear partial differential equations and nonlinear system partial equation, a nonlinear partial differential equations can be found in wide ...
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Laplace Homotopy Perturbation Method of Solving Nonlinear Partial Differential Equations
... some nonlinear partial differential ...Some nonlinear partial differential problems of first and second order were considered which the provide results in terms of transformed ...
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Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations
... 2009), nonlinear Laplacian spectral analysis (Gian- nakis and Majda, 2012), modeling emergent behavior (Roberts, 2014), Koopman analysis (Mezi´c, 2005; Budiˇsi´c et ...by partial differential ...
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Exact travelling wave solutions for some complex nonlinear partial differential equations
... In this paper, the G G ′ -expansion is applied successfully for solving the Kundu- Eckhaus equation and derivative nonlinear Schr¨ odingers equation. The results show that this method is efficient in finding the ...
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STABILITY AND CONVERGENCE FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
... In this work, we have investigated nonlinear partial differential equations written in the general form (1.1). In this form, the function f (x, t, p, q) can be defined in many different ways ...
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Similarity Reduction of Nonlinear Partial Differential Equations
... of nonlinear partial differential ...of nonlinear partial differential equations is to use classical Lie approach ...
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Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions
... of nonlinear partial differential ...ordinary differential equations is carried out using a scale-invariant time-stepping which yields uniform local accuracy in ...
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A Riccati Bernoulli sub ODE method for nonlinear partial differential equations and its application
... algebraic equations. The Eckhaus equation, the nonlinear frac- tional Klein-Gordon equation, the generalized Ostrovsky equation, and the generalized Zakharov-Kuznetsov-Burgers (ZK-Burgers) equation are ...
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Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations
... of nonlinear fractional partial differential ...reduce nonlinear fractional partial differential equations to nonlinear ordinary differential ...
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Symmetry and double reduction for exact solutions of selected nonlinear partial differential equations
... the equations under different boundary ...to Differential Equations by Olver (2000), Elementary Lie Group Analysis and Ordinary Differential Equations by Ibragimov (1999), as well as ...
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A Cauchy Kowalevsky theorem for overdetermined systems of nonlinear partial differential equations and geometric applications
... The study of nonlinear overdetermined systems of analytic partial differential equations has a long history going back to the late 19th century. We mention here only some this work, namely ...
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Exact solutions of two nonlinear partial differential equations by using the first integral method
... Among these, the first integral method, which is based on the ring theory of commuta- tive algebra, due to Feng [–] has been applied by many authors to solve different types of nonlinear equations in ...
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Exact solutions and transformation properties of nonlinear partial differential equations from general relativity
... -iiiABSTRACT Various families of exact solutions to the Einstein and Einstein-Maxwell field equations of General Relativity are treated for situations of sufficient symmetry that only tw[r] ...
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On closed form solutions of some nonlinear partial differential equations
... the partial differential equa- tion: θ xx + θ yy + δexp(θ) = 0, which arises in the steady state thermal explosion the- ...corresponding nonlinear wave ...
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Topological soliton solutions of the some nonlinear partial differential equations
... extended equations are established by adding the derivative of u ( x, t ) with respect to the space variables x and y for the first two equations ...
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NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, THEIR SOLUTIONS, AND PROPERTIES
... precisely a lack of it, has for years ba✏ed physicists, engineers, and others using mathematical models to formulate real-world problems, as well as computational mathematicians trying to solve them. It is, therefore, ...
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On convergence of He’s variational iteration method for nonlinear partial differential equations
... This equation was only intended as an approach to the study of turbulence because it exhibited some essential characteristics of the more realistic (and difficult) equations. This equation involves nonlinearity, ...
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Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations
... L iapunov 1 s Direct Method for stability has the advantage that it does not r equir e any knowledge of the solution except the knowl edge that i t satisfy a certain differential equatio[r] ...
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