Functional separable solutions of two classes of nonlinear mathematical physics equations
Keyword(s):
The study describes a new modification of the method of functional separation of variables for nonlinear equations of mathematical physics. Solutions are sought in an implicit form that involves several free functions; the specific expressions of these functions are determined in the subsequent analysis of the arising functional differential equations. The effectiveness of the method is illustrated by examples of nonlinear reaction-diffusion equations and Klein-Gordon type equations with variable coefficients that depend on one or more arbitrary functions. A number of new exact functional separable solutions and generalized traveling-wave solutions are obtained.
2014 ◽
Vol 19
(3)
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pp. 409-416
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2019 ◽
Vol 29
(11)
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pp. 1950144
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2020 ◽
Vol 30
(09)
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pp. 2050130
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2021 ◽
Vol 2073
(1)
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pp. 012014
1983 ◽
pp. 361-378
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