In this paper, new basic functions, which are composed of three basic Jacobi elliptic functions, are chosen as components of finite expansion. This finite expansion can be taken as an ansatz and applied to solve nonlinear wave equations. As an example, mKdV equation is solved, and more new rational form solutions are derived, such as periodic solutions of rational form, solitary wave solutions of rational form, and so on.Physics, MultidisciplinarySCI(E)中国科技核心期刊(ISTIC)中国科学引文数据库(CSCD)0ARTICLE3423-4264
Abstract: A Sine-Gordon expansion method to construct new exact solutions of nonlinear differential-...
New Jacobi elliptic functions are applied in Jacobi elliptic function expansion method to construct ...
In this paper, a general algebraic method based on the generalized Jacobi elliptic functions expan...
A fractional transformation is introduced to solve modified KdV (mKdV for short) equation, where thi...
A transformation is introduced on the basis of the projective Riccati equations. and it is applied a...
Various progressive waves expressed by rational combination of Jacobian elliptic functions in genera...
The new solutions to elliptic equation are shown, and then the elliptic equation is taken as a trans...
Abstract Based on new subsidiary ordinary differential equations, we present a new general algebraic...
This paper is concerned with the variable coefficients mKdV (VC-mKdV) equation. First, through some ...
In this paper, dependent and independent variable transformations are introduced to solve the negati...
Abstract: In this paper we implement the unified rational expansion methods, which leads to find exa...
From the definition of Legendre elliptic integration and Jacobi elliptic function, new transformatio...
In this article, we employ the complex method to obtain all meromorphic solutions of complex combine...
Traveling wave solutions, including localized and periodic structures (e.g., solitary waves, cnoidal...
把Jacobi椭圆函数展开法扩展到Jacobi椭圆余弦函数和第三类Jacobi椭圆函数的有限展开法,并给出了一类非线性波动方程的新周期解,并且应用这种方法得到的周期解也可以退化为冲击波解或孤波解.In...
Abstract: A Sine-Gordon expansion method to construct new exact solutions of nonlinear differential-...
New Jacobi elliptic functions are applied in Jacobi elliptic function expansion method to construct ...
In this paper, a general algebraic method based on the generalized Jacobi elliptic functions expan...
A fractional transformation is introduced to solve modified KdV (mKdV for short) equation, where thi...
A transformation is introduced on the basis of the projective Riccati equations. and it is applied a...
Various progressive waves expressed by rational combination of Jacobian elliptic functions in genera...
The new solutions to elliptic equation are shown, and then the elliptic equation is taken as a trans...
Abstract Based on new subsidiary ordinary differential equations, we present a new general algebraic...
This paper is concerned with the variable coefficients mKdV (VC-mKdV) equation. First, through some ...
In this paper, dependent and independent variable transformations are introduced to solve the negati...
Abstract: In this paper we implement the unified rational expansion methods, which leads to find exa...
From the definition of Legendre elliptic integration and Jacobi elliptic function, new transformatio...
In this article, we employ the complex method to obtain all meromorphic solutions of complex combine...
Traveling wave solutions, including localized and periodic structures (e.g., solitary waves, cnoidal...
把Jacobi椭圆函数展开法扩展到Jacobi椭圆余弦函数和第三类Jacobi椭圆函数的有限展开法,并给出了一类非线性波动方程的新周期解,并且应用这种方法得到的周期解也可以退化为冲击波解或孤波解.In...
Abstract: A Sine-Gordon expansion method to construct new exact solutions of nonlinear differential-...
New Jacobi elliptic functions are applied in Jacobi elliptic function expansion method to construct ...
In this paper, a general algebraic method based on the generalized Jacobi elliptic functions expan...