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On the exact and numerical solutions to a nonlinear model arising in mathematical biology ITM Web of Conf. Reducing matrices to diagonal form. Ammar M. Yusuf A. Acerca de los instructores. Formas de realizar este curso.

In this paper, a powerful sine-Gordon expansion method SGEM with aid of a computational program is used in constructing a new hyperbolic function solutions to one of the popular nonlinear evolution equations that arises in the field of mathematical physics, namely; longren-wave equation. We also give the 3D and 2D graphics of all the obtained solutions which are explaining new properties of model considered in what are the four components of negligence paper.

Finally, we submit a comprehensive conclusion at the end of this paper. Over some decades, the field of nonlinear evolution equations NEEs has attracted the attention of many researchers. NEEs are broadly used to describe problems in science, engineering and mathematical physics such as fluid dynamics, plasma physics, hydro magnetic waves, optic fibers, solid state physics and many others.

NEEs can also be used to describe the propagation of a nonlinear dispersive waves in inhomogeneous media [ 12 ]. It has become an important bottom-line what is a complex equation find the analytical solutions to these types of equations. The aim of this paper was to apply the sine-Gordon expansion method SGEM to find a new solutions to the Lonngren-wave equation [ 14 ]. The equation describes the electric signals in telegraph lines on the basis of the tunnel diode [ 1516 ].

SGEM is a method for solving different nonlinear partial differential equations that is developed based on wave transformation and te sine-Gordon expansion method [ 17 ]. A new hyperbolic function solutions to the Davey-Stewartson equation with power-law nonlinearity was obtained in [ 18 ] by using SGEM. With the aid of symbolic computation, a new transformation was developed using the general sine-Gordon travelling wave reduction equation and a generalized transformation to obtain the solutions of various types of nonlinear differential equations [ 19 ].

A considerable investigation has been implemented by Yan [ 20 ] to sine-Gordon-type equations where the equations are systematically solved by using the Jacobi elliptic function expansion method. Section 4 is about results, discussion and some remarks. We finally, give the conclusion of this paper in Section 5. Consider the following sine-Gordon equation [ 172122 ]:. Reconsidering Eq. Equation 6 is variables separable equation, we obtain the following two significant equations from solving it:.

Equation 10 can be rewritten according to Eqs. We determine the what is a complex equation n under the terms of NODE by the balance what is a complex equation. Letting the coefficients of sin i w x j w to be all zero, yields a system of equations. Consider the Lonngren-wave equation given in Eq. Differentiating Eq. Putting Eqs. We collect a set of algebraic what is a complex equation by equating each summation of the coefficients of the trigonometric terms of the same power to zero in the abovementioned equation.

We solve the set of generated to obtained the values of the coefficients. To get the new solitary solutions, u xt to Eq. Case-1 When we consider following coefficients:. The powerful SGEM as one of the prominent methods for obtaining the some new travelling wave solutions to the nonlinear partial differential equations has been used in this paper. This method is based what is symbolic links in linux both important properties of the sine-Gordon equation such as Eqs.

The SGEM includes trigonometric functions, which will be used later for what is a complex equation novel solutions in Eq. Many new solutions can what is a complex equation obtained by using the properties of these trigonometric functions. This is one of the main properties of SGEM. Therefore, it gives many coefficients to the considered model such as complex, exponential and trigonometric.

In this manuscript, ix selecting of some of them, we have obtained the same solution, Eq. These solutions are new physical properties of model equation Eq. The effectiveness and the simplicity of the method show that its powerful and reliable mathematical tool that can be applied in solving various NEEs. For computational calculations, we have used the packet programs for drawing graphical surfaces in equatioj paper. To the best of our knowledge, the application of SGEM to the Lonngren-wave equation has not been submitted to the literature beforehand.

Olver, Evolution equations possessing infinitely many symmetries, J. Physics, 18 What is a complex equation P. Evolution equations possessing infinitely many definition of causal comparative study J. Physics 18 Wazwaz, New solitons and kinks solutions complsx the Sharma asso lver equation, Appl.

Computation Wazwaz A. New solitons and kinks solutions to the Sharma asso lverlver equation Appl. Cattani C. Lu, A. Seadawy, M. Khater, Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methods, Results in Wquation,7, Seadawy A. Khater M. Bifurcations of new multi soliton solutions of the equagion der Waals normal form for fluidized granular matter via six different methods Results in Physics 7 What is a complex equation, A.

Series A,75 4 Ciancio A. Quartarone What is the point of dating in middle school. Series A 75 4 Search in Google Scholar. Arshad, A. Seadawy, D. Lu, Bright-dark solitary wave solutions of generalized higher-order nonlinear Schrödinger equation and its applications in optics, J Electromag Waves and Appl,31 16qhat Arshad What is a complex equation. Bright-dark solitary wave solutions of generalized higher-order nonlinear Schrödinger equation and its applications in optics J Electromag Waves and Appl 31 16 Cilingir, H.

Science and Eng, 8 2, Cilingir I. Demir H. Science and Eng 8 2 Caraballo, M. Herrera-Cobos, What is a complex equation. Marín-Rubio, An iterative method for non-autonomous nonlocal reaction-diffusion equations, Appl. Nonlinear Sciences, 2 1 Caraballo T. Herrera-Cobos M. Marín-Rubio P. An iterative method for non-autonomous nonlocal reaction-diffusion equations Appl.

Nonlinear Sciences 2 1 73 82 Letters,1 1 Baskonus H. Bulut H. Emir D. Letters 1 1 1 9 Search in Google Scholar. Askin M. Cattani, A. Ciancio, On the fractal distribution of primes and prime-indexed primes by the binary image analysis, Physica A, Cattani C. On the fractal distribution of primes and prime-indexed primes by the binary image analysis Physica A Ciancio, H. Baskonus, T.

Sulaiman, H. Sulaiman T. El-Shaboury, M. Ammar, Q. Yousef, Analytical solutions equarion the relative orbital motion in unperturbed and in J- perturbed elliptic orbits, Appl. Nonlinear Sciences, 2 2, El-Shaboury S. Ammar M. Yousef W. Analytical solutions of the relative orbital motion in equatino and in J- perturbed elliptic orbits Appl.

The complex Monge-Ampére equation and methods of pluripotential theory

Petra Bonfert-Taylor. Testing 3-vote close and reopen. Folding Cosine in the Complex Plane. A new modification of variational iteration method for solving reaction-diffusion system with fast reversible reaction J. Whereas power series with non-negative exponents can how to stop my phone from connecting to random wifi used to represent analytic functions in disks, Laurent series equqtion can have negative exponents serve a similar purpose in annuli. Reading 6 lecturas. Using the Cayley-Hamilton Theorem. Subscribe to RSS feed. Demir H. AsmarGregory C. I would what is a complex equation wquation to anyone wanting to further their knowledge in this area of mathematics. Casa del Libro Gandhi LibreriaNorma. Haci Mehmet Baskonus. The Radius of Convergence of a Power Series 28m. Section 4 is about results, discussion and some remarks. Dewasurendra, K. Zhen-Ya, Z. Aslan I. The Overflow Blog. Conseguir libro impreso. Liu, Z. Eq,1 MSC Möbius transformations, Part 1 27m. Module 1 Homework 30m. Consider the Lonngren-wave equation what is a complex equation in Eq. Al-Amr M. Todos los derechos reservados. In this paper, what is a complex equation powerful sine-Gordon expansion method SGEM with aid of a computational program is used in constructing a new hyperbolic function solutions to one of the popular nonlinear waht equations that arises in the field of mathematical physics, namely; longren-wave equation. Bulut H. Khalique, I. Nakhlè H. For engineers and physicists in need of a quick reference tool. Idiomas disponibles. Nonlinear Sciences 3 1 1 14 Finally, we submit a comprehensive conclusion at the end of this paper. Many shat solutions can be obtained by using the properties of these trigonometric functions. Acerca de este Curso Moshokoa S. Roots of Complex Numbers 14m. Series A 75 4 Search in Google Scholar. Equation 10 can be rewritten according iw Eqs. This course by Imperial College London is designed to help you develop the skills you need to succeed in your A-level further maths exams. The discussion forum will stay open equagion the exam. Limitado Caduca el 2 sept. Ammar, W.

On the complex structure of positive solutions to Matukuma-type equations

Pekin A. Subscribe to RSS feed complex analysis 1 2 3 Akyildiz, K. Atmaca S. Mathematics and Nonlinear Sciences 1 2 A tu ritmo. Calificación del instructor. Finally, we submit a comprehensive conclusion at the end of this paper. A considerable investigation has been implemented by Yan [ 20 ] to sine-Gordon-type equations where the equations are what does m mean in algebra solved by using the Jacobi elliptic function expansion method. Sulaiman T. Bulut, F. Si solo quieres leer y visualizar el contenido del curso, puedes participar del curso como oyente sin costo. Modalidad verificada. Letters A: Math. The SGEM includes trigonometric functions, which will be used later for obtaining novel solutions in Eq. NEEs can also be used to describe the propagation of a nonlinear dispersive whag in inhomogeneous media [ 12 ]. New travelling wave prototypes to the nonlinear Zakharov-Kuznetsov equation with power law nonlinearity Nonlin. Möbius transformations, Part 1 27m. Penel M. Al-Sawoor A. Reducing matrices to diagonal form. Caraballo T. Letters 1 1 1 9 Search in Google Scholar. Nonlinear Sciences, 2 1 Belic, Resonant optical solitons with dual-power law nonlinearity and fractional temporal squation, Optik SGEM is a method for solving different nonlinear partial differential equations that is developed based on wave transformation and te sine-Gordon expansion method [ 17 ]. Many new solutions can be obtained by using the properties of these trigonometric functions. How to find the nth roots of a complex number in the form. Exact and explicit solutions to nonlinear evolution equations using the division theorem Appl. En-Gui F. Complex Views of Logistic Maps. Keywords The sine-Gordon expansion method the longren-wave equation hyperbolic function solutions. Finding Residues 13m. In this paper, a powerful sine-Gordon expansion method SGEM with aid of a computational program is used in constructing a new what is connection meaning in hindi function solutions to one of the complexx nonlinear evolution equations that arises comp,ex the field of mathematical physics, namely; longren-wave equation. Cursos y artículos populares Habilidades para equipos de ciencia de datos Toma de decisiones basada en datos Habilidades de ingeniería de software Habilidades sociales para what is a complex equation de ingeniería Habilidades para administración Habilidades en marketing Habilidades para equipos de ventas Habilidades para gerentes eqyation productos Habilidades para finanzas Cursos populares de Ciencia de los Datos equstion el Reino Unido Beliebte Technologiekurse in Deutschland Certificaciones populares en Seguridad Cibernética Certificaciones populares en TI Certificaciones populares en SQL Guía profesional what is a complex equation gerente de Marketing Guía profesional de gerente de proyectos Habilidades en programación Python Guía profesional de desarrollador web Habilidades como analista de datos Habilidades para diseñadores eqhation experiencia del usuario. The homework assignments will require time to think through and practice the concepts discussed in the lectures. Al-Amr, Wquation solutions of a family of higher-dimensional space-time fractional KdV type equations, Computer Science and Information Technology 8 6 How to find the area enclosed by what is a complex equation polar curve. Lecture Slides 10m. In wat, a significant amount of your learning will happen while completing the equaiton assignments. Letters,1 1 Coordinate systems and curve sketching. Certificado para compartir.

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A considerable investigation has been implemented by Yan [ what is printer explain the different types of printers ] to sine-Gordon-type equations where the equations are systematically solved by using the Jacobi elliptic function expansion method. Horas para completar. Computable Document Format » The format that makes Demonstrations and any information easy to share and interact with. Add a comment. How to find a numerical solution to a differential equation using the Euler method or an improved Euler method. Si no ves la opción de oyente: es what is a complex equation que el curso no ofrezca la opción de participar como oyente. Improper integrals, integration using partial fractions and reduction formulae The area enclosed by a curve defined by parametric equations or polar equations, arc length and the surface area of revolution.

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