[PDF] Top 20 On closed form solutions of some nonlinear partial differential equations
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On closed form solutions of some nonlinear partial differential equations
... where as usual x and y denote cartesian coordinates, θ(x,y) is the dimensionless temperature, and δ is a strictly positive constant which is sometimes referred to as the Frank-Kamenetskii parameter. In particular, (1.1) ... See full document
8
New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
... the solutions are developed as series in real exponential functions which physically corresponds to mixing of elementary solutions of the linear part due to ...for nonlinear partial ... See full document
6
Symmetry and double reduction for exact solutions of selected nonlinear partial differential equations
... non-linear differential equations namely Short Pulse Equation, Boyer-Finley Equation, Kadomtsev- Petviashvili (KP) Equation, and Korteweg-de Vries-Burgers (KdV-B) ...these equations instead of other ... See full document
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Construction of Exact Parametric or Closed Form Solutions of Some Unsolvable Classes of Nonlinear ODEs (Abel's Nonlinear ODEs of the First Kind and Relative Degenerate Equations)
... of solutions valid inside consecutive ...corresponding solutions including various integration constants C as well as various values of the parameter v must be followed in all the consecutive subintervals ... See full document
14
Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications
... exact solutions of the modified regularized long wave (MRLW)equation, the improved Korteweg de Vries ( IKdV) equation , the two dimension Korteweg de Vries (2D KdV) equation and Coupled equal width wave ... See full document
13
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] ... See full document
73
Symmetrized solutions for nonlinear stochastic differential equations
... Solutions of nonlinear stochastic differential equations in series form.. can be put into convenient symmetrized forms which are easily calculable..[r] ... See full document
14
New approximate solutions to fractional nonlinear systems of partial differential equations using the FNDM
... analytical solutions to systems of nonlinear PDEs using the fractional natural decomposition method ...numerical solutions for two different types of nonlinear time-fractional systems of ... See full document
19
A nonlinear second order field equation – similarity solutions and relation to a Bellmann-type equation - Applications to Maxwellian Molecules
... of solutions of a nonlinear partial differential equation (nPDE) of second order with quadratic ...Similarity solutions and transformations are given in a most general form ... See full document
20
Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
... where a, b are arbitrary constants. When α, β → , this system has been investigated by Benjamin et al. [] for the first time, as an alternative model to the KdV equation for long waves and it plays an important role in ... See full document
14
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... of nonlinear partial time-space differential equations of fractional ...convert nonlinear partial fractional dif- ferential equations into nonlinear ordinary ... See full document
7
Study on Nonlinear Partial Differential Equation by Implementing MSE Method
... wave solutions for investigating nonlinear partial Klien- Gordon differential equations by implementing the modified simple equation ...function solutions taking some ... See full document
15
Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation
... by nonlinear evolution equations. Nonlinear partial differential equations (NPDEs) are widely used to de- scribe complex phenomena in various fields of sciences, especially in ... See full document
8
New Results on the Nonoscillation of Solutions of Some Nonlinear Differential Equations of Third Order
... all solutions of nonlinear functional differential ...established some sufficient conditions for oscillation of all solutions of the second-order forced differential equation of the ... See full document
11
Exact Solitary Wave Solutions of the (3+1) Modified B-type Kadomtsev-Petviashvili Family Equations
... the equations considered, are interpreted as quantities which make it possible to characterize the propagation medium or the moving physical ...expected solutions as well as the family of the ... See full document
8
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, THEIR SOLUTIONS, AND PROPERTIES
... in some cases, even ...or/and partial di↵erential equations or their ...often nonlinear, calling for a robust treatment of general classes of di↵erential ...and nonlinear and both ... See full document
65
Closed Form Wave Solutions to the Nonlinear Partial Differential Equations via the Rational Expansion Method
... the closed form traveling wave solutions of nonlinear partial differential equations such as the compound KdV-Burgers equation and the compound KdV equation by the ... See full document
9
EFFECTS OF THERMAL AND SOLUTAL STRATIFICATION ON MIXED CONVECTION FLOW ALONG A VERTICAL PLATE SATURATED WITH COUPLE STRESS FLUID
... of differential equations is nonlinear and non-homogenous, the closed form solutions are not obtained and hence the system is solved using the implicit Keller-box method (Cebeci ... See full document
6
Topological soliton solutions of the some nonlinear partial differential equations
... 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave ...the equations and obtain topological soliton solutions The physical ... See full document
16
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 ... See full document
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