[PDF] Top 20 The dynamic properties of solutions for a nonlinear shallow water equation
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The dynamic properties of solutions for a nonlinear shallow water equation
... The properties of solutions to the problem with dispersion and dissipative terms are discovered in ...dynamical properties for a generalized CH ... See full document
12
The existence of global weak solutions for a weakly dissipative Camassa-Holm equation in H1(R)
... out imposing the sign conditions on the initial value, and the uniqueness of the weak solu- tion was obtained under certain conditions on the solution []. Under the sign condition for the initial value, Yin and Lai ... See full document
12
The stability of local strong solutions for a shallow water equation
... Various dynamic properties for ...weak solutions and blow-up structures for ...Degasperis-Procesi equation was obtained in ...other dynamic properties of the Degasperis-Procesi ... See full document
13
Symmetry Properties and Solutions of Shallow Water Equations
... non-trivial solutions generate a simple wave equation: F ′ 2 = F ...this equation leads to two expressions for value h , the substituting of which in (3) generates the corresponding equations to ... See full document
14
The Exact Rational Solutions to a Shallow Water Wave Like Equation by Generalized Bilinear Method
... of water waves, the shallow water wave can not only describe the freedom of the shallow surface under the gravitational influence of one-way transmission, but also produce on the bottom of the ... See full document
7
Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation
... and dynamic processes in physics, engineering, electromagnetics, acoustics, viscoelasticity, electrochemistry, material science, ...ical solutions of nonlinear fractional partial differential ... See full document
13
Local well-posedness and persistence properties for a model containing both Camassa-Holm and Novikov equation
... critical shallow water speed ...of nonlinear evolution equations, one is of negative or- der CH hierachy while the other one is of positive order CH ... See full document
20
Asymptotic properties of solutions of third order nonlinear neutral dynamic equations
... our equation, a neutral dynamic equation, is more general than other third-order dynamic equations and therefore it is very ...second-order nonlinear neutral delay dynamic ... See full document
10
Mathematical modeling for tsunami waves using lattice boltzmann method
... The shallow water equation describes propagation of waves in weakly nonlinear and weakly dispersive ...type shallow water equations for water of various depth, which can ... See full document
48
Darboux Transformation and New Multi Soliton Solutions of the Whitham Broer Kaup System
... the nonlinear models in shallow water wave is very important, such as Korteweg-de Vries (KdV) equation [1] [2], Kadomtsev-Petviashvili (KP) equation [3] [4], Boussinesq equation ... See full document
9
On a nonlinear functional second order integrodifferential equation in Banach Spaces
... of solutions of an abstract nonlinear functional second order inte- grodifferential equation, Proceeding of International Conference on Mathematical Science in Honour of ... See full document
11
Blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm system
... The Cauchy problem (.) has been discussed in []. Therein Zhu and Xu established the local well-posedness to system (.), derived the precise blow-up scenario and investigated the wave breaking for it. The aim of this ... See full document
11
The local well-posedness of solutions for a nonlinear pseudo-parabolic equation
... of solutions for a nonlinear pseudo-parabolic equation are established in the Sobolev space C([0, T); H s (R n )) ∩ C 1 ([0, T); H s–1 (R n )) with s > n 2 ...of solutions for two special ... See full document
8
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 ... See full document
13
Controllability for nonlinear evolution equations with monotone operators
... In this paper, we investigate the approximate controllability for nonlinear evolution equations with monotone operators and nonlinear controllers according to monotone operator theory. We also give the ... See full document
17
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
3. Asymptotic behavior and oscillation of solutions of third order neutral dynamic equations with distributed deviating arguments
... neutral dynamic equations with distributed deviating arguments of type ...neutral dynamic equations with distributed deviating ...neutral dynamic equations with distributed deviating ... See full document
22
Bounded solutions for the nonlinear wave equation
... of a solution of problem (.) in the space H reduces the problem to a situation where A – is a compact operator. In Section , we introduce a functional I defined on E whose critical points and weak solutions of ... See full document
8
CONTRIBUTION OF HIGHER ORDER TERMS TO THE NONLINEAR SHALLOW WATER WAVES
... of nonlinear waves of various fields in physics and engineering, by use of the reductive perturbation method in the long-wave approximation, lead to the Korteweg- deVries equation as the evolution ... See full document
9
The local well-posedness and stability to a nonlinear generalized Degasperis-Procesi equation
... non-smooth solutions by constructing a Lax ...wave solutions of ...weak solutions for ...weak solutions of ...qualitative properties of the DP ... See full document
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