scholarly journals New Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation

2019 ◽  
Vol 2019 ◽  
pp. 1-7 ◽  
Author(s):  
Mohamed R. Ali ◽  
Wen-Xiu Ma
Keyword(s):  
Incompressible Fluid ◽  
Exact Solutions ◽  
Nonlinear Wave ◽  
Three Dimensional ◽  
Physical Significance ◽  
New Exact Solutions

Based on Hirota’s bilinear structure, we evolute a new protuberance type arrangement of the (3+1)-dimensional Boiti-Boiti-Leon-Manna-Pempinelli equation, which depicts nonlinear wave spreads in incompressible fluid. New lump arrangement is built by applying the bilinear strategy and picking appropriate polynomial. Under various parameter settings, this lump arrangement has three sorts of numerous irregularity waves, blended arrangements including lump waves and solitons are additionally developed. Association practices are seen between lump soliton and soliton. Research demonstrates that soliton can somewhat swallow or release lump waves. The shape and highlights for these subsequent arrangements are portrayed by exploiting the three-dimensional plots and comparing shape plots by picking suitable parameters. The physical significance of these charts is given.

New exact solutions of nonlinear wave type PDEs with delay

2020 ◽  
Vol 108 ◽  
pp. 106512 ◽  
Author(s):  
Andrei D. Polyanin ◽  
Vsevolod G. Sorokin
Keyword(s):  
Exact Solutions ◽  
Nonlinear Wave ◽  
Wave Type ◽  
New Exact Solutions

scholarly journals Fractal Ion Acoustic Waves of the Space-Time Fractional Three Dimensional KP Equation

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
M. A. Abdou ◽  
Saud Owyed ◽  
S. Saha Ray ◽  
Yu-Ming Chu ◽  
Mustafa Inc ◽  
...  
Keyword(s):  
Exact Solutions ◽  
Acoustic Waves ◽  
Three Dimensional ◽  
Fractional Operators ◽  
Trigonometric Functions ◽  
Fractional Partial Differential Equations ◽  
Kp Equation ◽  
Ion Acoustic Waves ◽  
New Exact Solutions ◽  
Conformable Derivatives

Methods known as fractional subequation and sine-Gordon expansion (FSGE) are employed to acquire new exact solutions of some fractional partial differential equations emerging in plasma physics. Fractional operators are employed in the sense of conformable derivatives (CD). New exact solutions are constructed in terms of hyperbolic, rational, and trigonometric functions. Computational results indicate the power of the method.

scholarly journals Three-dimensional exact solutions of the diffusion equation

2021 ◽  
pp. 48-62
Author(s):  
Александр Данилович Чернышов ◽  
Виталий Валерьевич Горяйнов ◽  
Сергей Федорович Кузнецов ◽  
Ольга Юрьевна Никифорова
Keyword(s):  
Exact Solution ◽  
Diffusion Equation ◽  
Exact Solutions ◽  
Three Dimensional ◽  
Arithmetic Mean ◽  
Internal Source ◽  
New Exact Solutions ◽  
Fast Expansions ◽  
Free Parameters ◽  
Diffusion Flows

При помощи метода быстрых разложений решается задача диффузии в параллелепипеде с граничными условиями 1-го рода и внутренним источником вещества, зависящим от координат точек параллелепипеда. Получено в общем виде решение, содержащее свободные параметры, с помощью которых можно получить множество новых точных решений с различными свойствами. Показан пример построения точного решения для случая внутреннего источника переменного только по оси OZ . Приведен анализ особенностей диффузионных потоков в параллелепипеде с указанным внутреннем источником. Получено, что концентрация вещества в центре параллелепипеда равна сумме среднеарифметического значения концентраций вещества в его вершинах и амплитуды внутреннего источника умноженного на величину The authors solve the problem of diffusion in a parallelepiped-shaped body with boundary conditions of the 1st kind and an internal source of substance, depending on the parallelepiped points coordinates with the fast expansions method. The proposed exact solution in general form contains free parameters, which can be used to obtain many new exact solutions with different properties. An example of constructing an exact solution with a variable internal source depending on one coordinate z is shown in the work. An analysis of the features of diffusion flows in a parallelepiped with the indicated internal source is given. It was found that the concentration of a substance in the center of a parallelepiped is equal to the sum of the arithmetic mean of the concentration of a substance at its vertices and the amplitude of the internal source multiplied by the value

scholarly journals Research Slightly double fuzzy continuous functions via $e$-open sets P. Periyasamy 1 , A. Vadivel 2 *, G. Saravanakumar 3 and V. Chandrasekar 4 Malaya Journal of Matematik : Special Issue, Issue 1, 2020, Pages:570-575 DOI: 10.26637/MJM0S20/0109 | Full Article PDF | PDF size (1,412.53 KB) Research An $O(n)$-time algorithm to compute minimum $k$-hop connected dominating set of interval graphs Sambhu Charan Barman 1 *, Madhumangal Pal 2 and Sukumar Mondal 3 Malaya Journal of Matematik : Special Issue, Issue 1, 2020, Pages:576-580 DOI: 10.26637/MJM0S20/0110 | Full Article PDF | PDF size (1,420.88 KB) Research Solution of fractional integro-differential equations by Bernstein polynomials J.A. Nanware 1 * Parameshwari M. Goud 2 * and T.L. Holambe 3 Malaya Journal of Matematik : Special Issue, Issue 1, 2020, Pages:581-586 DOI: 10.26637/MJM0S20/0111 | Full Article PDF | PDF size (1,489.44 KB) Research Bases and metric dimension of composition product of some graph families P.V. Shamsudheen 1 * and A.T. Shahida 2 Malaya Journal of Matematik : Special Issue, Issue 1, 2020, Pages:587-589 DOI: 10.26637/MJM0S20/0112 | Full Article PDF | PDF size (1,542.84 KB) Research New exact solutions for general Boussinesq equation Subin P. Joseph 1 * Malaya Journal of Matematik : Special Issue, Issue 1, 2020, Pages:590-593 DOI: 10.26637/MJM0S20/0113 | Full Article PDF | PDF size (1,373.03 KB) Research Mathematical model on MHD oscillatory flow through a porous medium under the influence of heat and mass transfer M. Chitra 1 * and V. Kavitha 2 Malaya Journal of Matematik : Special Issue, Issue 1, 2020, Pages:594-600 DOI: 10.26637/MJM0S20/0114 | Full Article PDF | PDF size (1,463.96 KB) Research Three dimensional exact solutions for Newtonian and non-Newtonian fluid flows

2020 ◽  
Vol S (1) ◽  
pp. 601-605
Author(s):  
Subin P. Joseph
Keyword(s):  
Full Article ◽  
Exact Solutions ◽  
Dominating Set ◽  
Bernstein Polynomials ◽  
Three Dimensional ◽  
Time Algorithm ◽  
Continuous Functions ◽  
Metric Dimension ◽  
Special Issue ◽  
New Exact Solutions

scholarly journals A class of new exact solutions of the equations governing the steady plane flows of incompressible fluid of variable viscosity

2015 ◽  
Vol 4 (4) ◽  
pp. 429
Author(s):  
Rana Khalid Naeem ◽  
Mushtaq Ahmed
Keyword(s):  
Temperature Distribution ◽  
Incompressible Fluid ◽  
Exact Solutions ◽  
Energy Function ◽  
Variable Viscosity ◽  
Flow Equations ◽  
New Exact Solutions ◽  
Viscosity Function ◽  
Steady Plane ◽  
Infinite Set

<p>The objective of this paper is to indicate a class of new exact solutions of the equations governing the steady plane flows of incompressible fluid of variable viscosity. The class consists of the stream function characterized by equation (2). Exact solutions are determined for  and  When is arbitrary we can construct an infinite set of streamlines and the velocity components, viscosity function, generalized energy function  and temperature distribution . Therefore, an infinite set of solutions to flow equations. When  is not arbitrary, there are two values of  and therefore, two exact solutions to flow equations. The streamlines are presented through Fig.(1–56) for some chosen from of f(r).</p>

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