Some exact solutions for Toda type lattice differential equations using the improved (G′/G)-expansion method
نویسندگان
چکیده
منابع مشابه
Exact solutions for wave-like equations by differential transform method
Differential transform method has been applied to solve many functional equations so far. In this article, we have used this method to solve wave-like equations. Differential transform method is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. Some examples are prepared to show theefficiency and simplicity of th...
متن کاملToda Lattice Solutions of Differential-Difference Equations for Dissipative Systems
In a certain class of differential-difference equations for dissipative systems, we show that hyperbolic tangent model is the only the nonlinear system of equations which can admit some particular solutions of the Toda lattice. We give one parameter family of exact solutions, which include as special cases the Toda lattice solutions as well as the Whitham’s solutions in the Newell’s model. Our ...
متن کاملexact solutions for wave-like equations by differential transform method
differential transform method has been applied to solve many functional equations so far. in this article, we have used this method to solve wave-like equations. differential transform method is capable of reducing the size of computational work. exact solutions can also be achieved by the known forms of the series solutions. some examples are prepared to show theefficiency and simplicity of th...
متن کاملSoliton Solutions of the Toda–Type Lattice Equations
The sets of the lattice equations, which generalize the Toda lattice equations, and their Lax pairs are presented. The multi-soliton solutions are constructed. PACS: 05.45.Yv; 05.50.+q
متن کاملApplication of the tan(phi/2)-expansion method for solving some partial differential equations
In this paper, the improved -expansion method is proposed to solve the Kundu–Eckhaus equation and Gerdjikov–Ivanov model. The applied method are analytical methods to obtaining the exact solutions of nonlinear equations. Here, the aforementioned methods are used for constructing the soliton, periodic, rational, singular and solitary wave solutions for solving some equations. We obtained furthe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Methods in the Applied Sciences
سال: 2012
ISSN: 0170-4214
DOI: 10.1002/mma.1579