Painleve analysis, Auto-Backlund transformation and new exact solutions for improved modied KdV equation
نویسندگان
چکیده
منابع مشابه
A New Auto-Bäcklund Transformation and its Applications in Finding Explicit Exact Solutions for the General KdV Equation
In this paper, based on a Lax pair of the Riccati form for the general KdV equation, a new auto-Bäcklund transformation (ABT) is presented. As an application of this ABT, since only integration is needed, a series of explicit and exact solutions can be obtained which contain soliton-like solutions. This approach is important for finding more new and physically significant exact solutions of non...
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In this paper, we apply the Miura transformation to construct the connection between a variablecoefficient KdV (vcKdV) equation and a variable-coefficient modified KdV (vcmKdV) equation under certain constraint. Solving the vcmKdV equation by use of the auxiliary equation method and using the Miura transformation, we find a rich variety of new exact solutions for the vcKdV equation, which inclu...
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متن کاملExact Solutions for a Generalized KdV Equation with Time-Dependent Coefficients and K(m,n) Equation
In this paper, a generalized KdV equation with time-dependent coefficients will be studied. The K(m,n) equation with generalized evolution will also be examined. The Riccati equation mapping method will be used to obtain some new exact solutions for both equations. These solutions include solitary wave solutions and periodic wave solutions. The results presented in this paper improve the previo...
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ژورنال
عنوان ژورنال: International Journal of Applied Mathematical Research
سال: 2014
ISSN: 2227-4324
DOI: 10.14419/ijamr.v3i3.2940