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The multiple solitonsolutions of (1+1)-dimensional Hirota -Satsuma shallow water wave equation is studied usingPainleve- Bӓcklundtransformation and the simplified Hirota's method.Also the hyperbolic and theExp-trigonometric function methods are used to obtain some more kind of solitary wave solutions.

iosr journal of mathematics

Multiple SolitonSolutions for a (1+1)-dimensionalHirota-Satsuma shallow water wave equation UsingPainlevé-Bӓcklund Transformation and the Simplified Hirota’s Method