Degasperis-Procesi equation
The connection of the Degasperis-Procesi equation with the Vakhnenko equation
... the equation (2) they found that only the cases b = 2, 3 could possess in- finitely many commuting symmetries, and so only these two cases are ...paper Degasperis, Holm and Hone [2] constructed a Lax pair ...
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The entropy weak solution to a generalized Degasperis Procesi equation
... precise blow-up scenario were analyzed in []. Lenells [] classified all weak traveling wave solutions. Matsuno [] studied multisoliton solutions and their peakon limits. The proper- ties of infinite speed of propagation ...
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Blow-up phenomena and global existence for the weakly dissipative generalized periodic Degasperis-Procesi equation
... by Degasperis and Procesi in [] as a model for the motion of shallow water waves, and its asymptotic accuracy is the same as for the Camassa-Holm ...dissipative Degasperis-Procesi ...
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Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method
... the Degasperis–Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump ...
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Bifurcations and exact traveling wave solutions for a modified Degasperis–Procesi equation
... modified Degasperis–Procesi equation, with the aid of dynamical systems ...modified Degasperis–Procesi equation has smooth solitary wave solutions, periodic wave solutions and loop ...
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On the Cauchy problem for a weakly dissipative μ Degasperis Procesi equation
... μ -Degasperis-Procesi equation. We first present several blow-up results of strong solutions to the equation. Then, we give an improved global existence result to the equation. The ...
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Breaking and permanent waves for the periodic μ Degasperis–Procesi equation with linear dispersion
... -Degasperis–Procesi equation, which is an evolution equation on the space of tensor densities over the Lie algebra of smooth vector ...
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The Cauchy problem for the generalized Degasperis-Procesi equation
... generalized Degasperis-Procesi equation possesses the peaked solitary wave which is the weak solution to the generalized Degasperis-Procesi ...generalized Degasperis- ...
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A study on Degasperis - Procesi equation by iterative methods
... The Degasperis-Procesi equation can be derived as a member of a oneparameter family of asymptotic shallow water approximations to the Euler equations with the same asymptotic accuracy as that of the ...
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The local well-posedness and stability to a nonlinear generalized Degasperis-Procesi equation
... KdV equation modeling weakly nonlinear unidirectional long waves and the CH equation modeling the unidirectional shallow water waves have been extensively in- vestigated (see ...
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The optimal control problem with necessity condition for a viscous shallow water equation
... Camassa–Holm equation and vis- cous Degasperis–Procesi equation as special ...Camassa–Holm equation, which models the propagation of shallow water ...Holm equation and global ...
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Some periodic and solitary travelling-wave solutions of the short pulse equation
... The aim of the present paper is to complement the work in [3] by presenting other travelling-wave solutions to the SPE. The solution method is similar to the one that we have used previously to find periodic and solitary ...
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The stability of local strong solutions for a shallow water equation
... periodic Degasperis-Procesi equation was obtained in ...the Degasperis-Procesi () and other shallow water models, the reader is referred to [–] and the references ...
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On a Fractional Master Equation and a Fractional Diffusion Equation
... On the basis of a classification of the time generators in ergodic theory , Hilfer and Anton [1] introduced the fractional master equation involving fractional time derivative of order α , ( 0 < α ≤ 1 ). ...
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Semiparametric Bayesian inference in multiple equation models
... equation. This nonlinear term was, of course, not present in the conditional mean of Case 1 since that model only contained a linear ability term. So, we can regard the differences between the conditional means of ...
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Reaction Mechanics for Point Objects
... The first two terms are the Euler Lagrange equation of Classical Mechanics operating on the zero order Lagrangian and therefore must be equal to zero. This is consistent if one considers Newtonian Classical ...
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The Integral Equation, Corresponding to the Ordinary Differential Equation
... differential equation (ODE) is represented as the sum of two operators: basic and supplementing ...integral equation Volterra of II ...integral equation are system of the approximate fundamental ...
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Some Partial Differential Equations In Ms. Khin Saw Mu
... Abstract- In this paper, the initial-value problems are studied and solved for homogeneous and non-homogeneous transport equations. Moreover, the fundamental solution and mean value theorem are used to derive Laplace's ...
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A Spectral Integral Equation Solution of the Gross Pitaevskii Equation
... Gross-Pitaevskii equation (GPE), that describes the wave function of a number of coherent Bose particles contained in a trap, contains the cube of the normalized wave function, times a factor proportional to the ...
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ON THE NON HOMOGENEOUS CUBIC EQUATION WITH FIVE UNKNOWNS EQUATION
... The theory of Diophantine equations offers a rich variety of fascinating problems. In particular, cubic equations, homogeneous and non-homogeneous have aroused the interest of numerous mathematicians since antiquity ...
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