Abstract
The idea of AC=BD was applied to solve the nonlinear differential equations. Suppose that Au=0 is a given equation to be solved and Dv=0 is an equation to be easily solved. If the transformation u=Cv is obtained so that v satisfies Dv=0, then the solutions for Au=0 can be found. In order to illustrate this approach, several examples about the transformation C are given.
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Paper from ZHANG Hong-qing, Member of Editorial Commitee, AMM
Foundation item: the National Basic Research Program Foundation of China (G1998030600); Doctoral Foundation of Education Commitee of China (98014119)
Biography: ZHANG Hong-qing (1936-)
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Hong-qing, Z., Zhen-ya, Y. Two types of new algorithms for finding explicit analytical solutions of nonlinear differential equations. Appl Math Mech 21, 1423–1431 (2000). https://doi.org/10.1007/BF02459221
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DOI: https://doi.org/10.1007/BF02459221