[PDF] Top 20 NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, THEIR SOLUTIONS, AND PROPERTIES
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NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, THEIR SOLUTIONS, AND PROPERTIES
... or partial di↵erential equations. Such equations involve derivatives of the unknown functions and have for many years been broadly applied in a variety of disciplines including the physical sciences ... See full document
65
New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
... some nonlinear partial differential equations have been converted into an ...for equations with similar linear part, the researchers have earned the exact soliton solutions of ... See full document
6
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
8
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
Topological soliton solutions of the some nonlinear partial differential equations
... In recent years, new exact solutions may help to find new phenomena. A vari- ety of powerfull methods, such as the tanh-sech method [25, 26, 40], extended tanh method [12, 13, 41], sine-cosine method [5, 42], ... See full document
16
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
28
On closed form solutions of some nonlinear partial differential equations
... 3. Nonlinear wave equation in two variables. It is easy to show that θ(x,y) is a solution of the wave equation in two variables if and only if θ(x,iy) is a solution of the Laplace equation in two variables. Hence, ... See full document
8
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] ... See full document
90
Oscillations of Solutions of Neutral Nonlinear Differential Equations
... of differential equations and study the oscillatory behavior of a kind of first-order neutral nonlinear differential equation with time delay ...oscillatory properties of the ... See full document
9
A nonlinear second order field equation – similarity solutions and relation to a Bellmann-type equation - Applications to Maxwellian Molecules
... of solutions are solutions due to the invariant properties ...of solutions result by appropriate ...invariant, solutions of the new transformed equation also generates solutions ... See full document
20
Tan-Cot Function Method to Solve New Coupled ZK and mKdV Systems
... wave solutions by using the Tan-Cot function algorithm were established for solving nonlinear partial differential ...wave solutions for two systems of various types of nonlinear ... See full document
5
The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
... order differential equations have important roles in rheology, damping laws, diffusion process, etc ...[6,7,8,9,10]. Partial differential equations, nonlinear differential ... See full document
6
Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications
... exact solutions for four different types of nonlinear partial differential equations such as the modified regularized long wave equation, the improved Korteweg de Vries equation, the ... See full document
13
New approximate solutions to fractional nonlinear systems of partial differential equations using the FNDM
... material properties, ...and nonlinear ODEs and PDEs that appear in many mathe- matical physics and engineering ...provides solutions in an infinite series form, and the obtained series may converge to ... See full document
19
New Exact Travelling Differential Equations by Using Tanh Method
... partial differential equation is current research in Applied ...exact solutions for some nonlinear partial differential equations which obtained by using tanh (or tangent ... See full document
5
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... and properties of the fractional theory are considered regrading to modified Riemann-Liouville ...exact solutions for NPDEs of fractional order with the help of fractional complex ... See full document
7
Modified F-Expansion Method Applied to Coupled System of Equation
... wave solutions of two-component nonlinear partial differential equations (NLPDEs) is ...new solutions to the nonlinear Whitham- Broer-Kaup system ...The solutions ... See full document
8
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
Exact Solitary Wave Solutions of the (3+1) Modified B-type Kadomtsev-Petviashvili Family Equations
... a nonlinear phenomenon is phenomenon in which the change of output is not proportional to the change of ...a nonlinear system is mathematically describe by a system of nonlinear equations, ... See full document
8
Vol 9, No 1 (2018)
... approximate solutions for linear and nonlinear partial differential equations which describe in different ...approximate solutions of nonlinear partial ... See full document
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