[PDF] Top 20 Nonlinear Evolution Equations and Its Application to a Tumour Invasion Model
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Nonlinear Evolution Equations and Its Application to a Tumour Invasion Model
... consider nonlinear evolution equations with logistic term satisfying initial Neu- mann-boundary condition and show global existence in time of solutions to the problem in arbitrary space dimension by ... See full document
17
Modified Simple Equation Method and its Applications for some Nonlinear Evolution Equations in Mathematical Physics
... to nonlinear evolution equations in various fields of science and ...some nonlinear evolution equations via the Fitzhugh-Nagumo equation, the Sharma- Tasso- Olver equation, the ... See full document
6
The exp( j(x)) Method and Its Applications for Solving Some Nonlinear Evolution Equations in Mathematical Physics
... equation and (3+1)-dimensional Kadomstev-Petviash-vili which have been constructed using the modified simple equation method. Let us compare between our results obtained in the present article with the well-known results ... See full document
13
The exp( φ(ξ)) Expansion Method and Its Application for Solving Nonlinear Evolution Equations
... u ′′ + cu ′ − β u + κ u − u = (3.26) Balancing u′′ with u 3 in Equation (3.26) yields, N + = 2 3 N ⇒ N = 1 . Consequently, we get the same formal solution (3.10). Substituting Equation (3.10) and its derivatives ... See full document
11
The application of dressing method on nonlinear evolution equations
... Their study inspired Norman J. Zabusky and Martin D. Kruskal to analyze the KdV equation which has been arisen from the FPU problem. In 1965, they investigated and analyzed the nonlinear simulation in detail and ... See full document
14
Nonlinear evolution equations and applications in optimal control theory
... University of Warwick institutional repository: http://go.warwick.ac.uk/wrap A Thesis Submitted for the Degree of PhD at the University of Warwick http://go.warwick.ac.uk/wrap/72032.. Th[r] ... See full document
122
Identification problems for systems of nonlinear evolution equations and functional equations
... of nonlinear evolution equations are the mathematical models that are used to describe many complex phenomena arising in science and ...of nonlinear evolution ...other evolution ... See full document
8
Controllability for nonlinear evolution equations with monotone operators
... S: Nonlinear Mappings of Monotone ...G: Nonlinear Evolution Equations and ...T: Nonlinear evolution equations in Banach ...H: Equations of ... See full document
17
Anti periodic solutions for nonlinear evolution equations
... Anti-periodic problems have important applications in auto-control, partial differential equations and engineering, and they have been studied extensively in the past ten years. For example, anti-periodic ... See full document
15
Solving Nonlinear Evolution Equations by (G'/G)-Expansion Method
... differential equations. In nonlinear science it is of great importance and interest to explain physical models and attain analytical ...by nonlinear partial differential ...differential ... See full document
11
Nonlinear Evolution Equations for Second-order Spectral Problem
... Wei Liu was born in Shijiazhuang, Hebei/ January, 1981, Received M.S. degree in 2007 from School of Sciences, Hebei University of Technology, Tianjin, China. She mainly engaged in control and application of ... See full document
8
Numerical study of nonlinear evolution equations, using compact differencing
... e nonlinear system s which concern us is trid i agonal or block tridiagonal, direct m ethods, such as T h o m as’ algorithm for tridiagonal system s or LU decom position for block tridiagonal system s, are ... See full document
243
Exact Solutions of the BBM and MBBM Equations by the Generalized (G'/G )-expansion Method Equations
... of nonlinear partial differential equations in modelling physical phenomena has become an important ...of nonlinear evolution equations (NLEEs) and systematically illustrated in ...to ... See full document
5
Lie symmetries of nonlinear parabolic elliptic systems and their application to a tumour growth model
... From the applicability point of view, the most interesting parabolic-elliptic systems occur in Table 1 because the systems from Table 2 are semi-coupled. It is worth noting that MAIs for the systems arising in all the ... See full document
21
On new evolution of Ri’s result via w distances and the study on the solution for nonlinear integral equations and fractional differential equations
... of nonlinear integral equations nowadays is a large topic which is found in many applications of various branches in mathematics and other fields such as biology, engineering, economics, ...of ... See full document
15
Stochastic Nonlinear Gompertz Model of Tumour Growth
... Modelling tumour growth and treatment has be- come one of the leading research areas since cancer is a major cause of death in our modern ...the evolution of numerous biological phenomena (Preziosi, ...of ... See full document
5
Breast cancer integrin expression and its relationship to tumour invasion and metastasis
... in 1981. U sing logistic regression analysis with a stepw ise forw ard approach, the jSl, a v and cx2 integrin subunits in conjunction with vascular invasion, tum our size and m ultifocal disease w ere selected as ... See full document
302
Existence of the solutions for a class of nonlinear fractional order three-point boundary value problems with resonance
... The paper is arranged as follows: In Section , we introduce some definitions for frac- tional order differential equations and give our main results for the boundary value prob- lem (.)-(.). We give some lemmas ... See full document
13
The Pfaffian Technique: A (2 + 1) Dimensional Korteweg de Vries Equation
... It is known that many nonlinear evolution equations have soliton solutions, such as the Korteweg de Vries equation, the Sin-Gordon equation, the nonlinear Schrödinger equation, the Kadom[r] ... See full document
6
Existence and uniqueness of positive solution to singular fractional differential equations
... Recently, many results were obtained dealing with the existence of solutions for non- linear fractional differential equations by using the techniques of nonlinear analysis; see [–] and references ... See full document
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