WebJan 14, 2015 · Feng [ 19] has introduced a reliable and effective method called Feng’s first integral method to look for travelling wave solutions of nonlinear PDEs. The basic idea … WebIn this paper, we investigate the first integral method for solving the solutions of Maccari’s system. This idea can obtain some exact solutions of this system based on the theory of Commutative algebra. ... Z. Feng, “On Explicit Exact Solutions to the Compound Burgers-KdV Equation,” Physics Letters A, Vol. 293, No. 1, 2002, pp. 57-66 ...
3 The first integral method’s applications - degruyter.com
WebApr 15, 2024 · Abstract. In this article, we modify Feng’s first integral method (FIM) for the purpose of enlarging its applications. Compared with original FIM, our modified FIM is … Webrational function method and the first integral method. The first integral method is a powerful solution method for the computation of exact traveling wave solutions. This … mx player 3717931
The First Integral Method to the Nonlinear Schrodinger Equations …
WebDec 30, 2024 · 2.4: An Important First Integral of the Euler-Lagrange Equation. It turns out that, since the function \ (f \) does not contain x explicitly, there is a simple first integral of this equation. Multiplying throughout by y ′ = d y / d x. and using this to replace ∂ f ( y, y ′) ∂ y d y d x in the preceding equation gives. WebSep 15, 2006 · If we can find two first integrals of (4) under the same conditions, the general solutions of (4) can be obtained directly. But, in general, it is rather difficult to realize this object, even for one first integral. The excellent idea of the first integral method is using the division theorem to seek one first integral of (4), which can reduce Eq. WebMay 23, 2016 · The some of the well-known nonlinear time fractional parabolic partial differential equations is studied in this paper. The fractional complex transform and the first integral method are employed to construct one-soliton solutions of these equations. The power of this manageable method is confirmed. The obtained solutions include solitary … mx player 3717984