| Summary: | In this article, we examine a (3+1)-dimensional generalized breaking soliton equation which is highly applicable in the fields of engineering and nonlinear sciences. Closed-form solutions in the form of Jacobi elliptic functions of the underlying equation are derived by the method of Lie symmetry reductions together with direct integration. Moreover, the <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><msup><mi>G</mi><mo>′</mo></msup><mo>/</mo><mi>G</mi><mo>)</mo></mrow></semantics></math></inline-formula>-expansion technique is engaged, which consequently guarantees closed-form solutions of the equation structured in the form of trigonometric and hyperbolic functions. In addition, we secure a power series analytical solution of the underlying equation. Finally, we construct local conserved vectors of the aforementioned equation by employing two approaches: the general multiplier method and Ibragimov’s theorem.
|
|---|
