2011ISRN Applied MathematicsOpen access

Some Traveling Wave Solutions of a Hyperbolic Model for Chemotaxis in 1-D

Qin Zhang, Wenyan Chen

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Abstract

The traveling wave solution of a hyperbolic model for chemotaxis in one space dimension is studied in this paper. By using some transformations of dependent variables and independent variables, we apply the tanh method and improved tanh method to the model, from which some traveling wave solutions in explicit form are presented.

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The traveling wave solution of a hyperbolic model for chemotaxis in one space dimension is studied in this paper. By using some transformations of dependent variables and independent variables, we apply the tanh method and improved tanh method to the model, from which some traveling wave solutions in explicit form are presented.

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Available abstract

The traveling wave solution of a hyperbolic model for chemotaxis in one space dimension is studied in this paper. By using some transformations of dependent variables and independent variables, we apply the tanh method and improved tanh method to the model, from which some traveling wave solutions in explicit form are presented.

Key concepts: Traveling wave, Hyperbolic function, Dimension (graph theory), Chemotaxis, Mathematical analysis, Mathematics, Space (punctuation), Applied mathematics

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