This investigation explores entire solutions for nonlinear second-order partial differential-difference equations, suggesting new findings in the field.
The aim of this paper is to investigate the conditions for the existence and structure of entire solutions to systems of nonlinear second-order partial differential-difference equations of Fermat type in C² . One of our main results extends two theorems from [26] to the setting of systems of equations, while other findings concern novel forms of equations that, to the best of our knowledge, have not been explored in the existing literature. Several illustrative examples are provided to support our main results.
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Biswas et al. (2025) studied this question.
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