New Exact Solutions for the VGKdV-mKdV Equation with Nonlinear Terms of Any Order

Baojian Hong; Dianchen Lu

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New Exact Solutions for the VGKdV-mKdV Equation with Nonlinear Terms of Any Order

机译：具有任意阶非线性项的VGKdV-mKdV方程的新精确解

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In this paper, some new exact solutions for the vari able-coefficient generalized KdV-mKdV equation (VGKdV-mKdV) with nonlinear terms of any order are obtained by using the generalized Jacobi elliptic functions expansion method with computerized symbolic computation, some of these solutions are degenerated to soliton-like solutions and trigonometric function solutions in the limit cases, which shows that the applied method is more powerful and will be used in further works to establish more entirely new exact solutions for other kinds of nonlinear partial differential equations with nonlinear terms of any order arising in mathematical physics.

机译：本文通过使用带有计算机符号计算的广义Jacobi椭圆函数展开方法，获得了具有任意阶非线性项的变系数广义KdV-mKdV方程（VGKdV-mKdV）的一些新的精确解，其中一些解决方案在极限情况下退化为类孤子解和三角函数解，这表明所应用的方法更强大，将用于进一步的工作，以为其他种类的带有非线性项的非线性偏微分方程建立更全新的精确解数学物理学中出现的任何阶数

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《Journal of Basic and Applied Physics》 |2012年第3期|共6页
作者
Baojian Hong; Dianchen Lu;
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中图分类应用物理学;
关键词
Generalized Jacobi Elliptic Functions Expansion MethodGeneralized Kdv–Mkdv EquationExact SolutionsSoliton-Like SolutionsJacobi Elliptic Wave-Like Solutions;

机译：广义Jacobi椭圆函数展开方法广义Kdv–Mkdv方程精确解孤子类解决方案雅各比椭圆波类解决方案;

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New Exact Solutions for the VGKdV-mKdV Equation with Nonlinear Terms of Any Order

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