He P,Chen Z,Fu J.Solution of KdV equation by computer algebra. Applied Mathematics and Computation . 2003He ping,Chen Zheng,Fu Jun.Solution of Kdv equation by computer algebra.. 2002Ping, H., Zheng, C. and Jun, F., Solution of kdv equation by computer algebra, Appl. Math. Comput.,...
and Bhatti, M.I, Numerical Solution of KdV equation using modified Bernstein polynomials, Applied Mathematics and Computation, 174: 1255-1268, (2006).D. D. Bhatta, M. I. Bhatti, Numerical solu- tion of KdV equation using modified Bern- stein polynomials, Appl. Math. Comput. 174 (2006) ...
This paper formulates a meshfree radial basis functions (RBFs) collocation (Kansa) method for the numerical solution of the Korteweg-de Vries (KdV) equation. The accuracy of the method is assessed in terms of the errors in , and root mean square (RMS), number of nodes in the domain of ...
A periodic solution of KdV equation was obtained in coadjoint orbit of virasoro group. It is shown that as the dynamics system of KdV, the element of the c... K Yang - 《Journal of Lanzhou University》 被引量: 2发表: 1994年 Comments on D-branes in AdS 3 We study D-branes that pr...
here main emphasis is given on the Mathematical modeling of traveling waves and their solutions in the form of Korteweg-de Vries equation (KdV) It is a non-linear Partial Differential Equation (PDE) of third order which arises in a number of physical applications such as water waves, elastic...
In the end, the nanopteron structure of the KdV equation is revealed in a plasma physics system. It is confirmed that the influence of plasma parameters on the nanopteron structure is in agreement with the classical soliton. 展开 关键词: Nonlinear Sciences - Exactly Solvable and Integrable ...
KdV equationCauchy problemperturbationtwo-soliton initial dataamplitudesphase shiftsThe Cauchy problem for the perturbed Korteveg-de Vries equation with the two-soliton initial data is considered. Differential equations for the slow deformation of the parameters—amplitudes and phase shifts—are derived. ...
The complete solution is found by matching the solutions of all the three parts. It is found that there are four different solutions according to the values of the phase shift. All solutions are positive. 展开 关键词: Stationary Forced KdV Equation Supercritical solution ...
Instead of traditional mesh oriented methods suc... A Golbabai,A Safdari-Vaighani - 《Computing》 被引量: 33发表: 2011年 Numerical solutions of KdV equation using radial basis functions Numerical solution of the Korteweg-de Vries equation is obtained by using the meshless method based on the ...
Sufficient conditions for the shorter curve of soliton solutions of KdV equations; 一类孤立子解为短程线的充分条件 2. Multi-soliton solution of the Faddeev model; Faddeev模型中的多孤立子解 3. Exact travelling wave solutions and concave or convex peaked and smooth soliton solutions of Camassa-Hol...