New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation | Zendy

Mao Jie-Jian | Zendy; Jian-Rong Yang | Zendy

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New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation

Author(s) -

Mao Jie-Jian,

Jian-Rong Yang

Publication year - 2007

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.56.5049

Subject(s) - korteweg–de vries equation , variable coefficient , elliptic function , variable (mathematics) , trigonometric functions , mathematical analysis , function (biology) , trigonometry , mathematics , hyperbolic function , exact solutions in general relativity , physics , quantum mechanics , nonlinear system , geometry , evolutionary biology , biology

By the transforming with general KdV equation, the solutions of the variable coefficient generalized KdV equation are constructed firstly. As a result, we successfully obtain the new exact Jacobi elliptic function solutions, solitary-wave-like solutions, trigonometric function solutions and Weierstrass elliptic function solutions of variable coefficient generalized KdV equation.

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