Oct 15, 2009 · In this work, four (2 + 1)-dimensional nonlinear completely integrable equations, generated by extending the KdV equation are developed.
The (2+1)-dimensional KdV equation is studied by four distinct methods. The Hirota's bilinear method is used to derive multiple-soliton solutions for this ...
Four (2+1)-dimensional integrable extensions of the KdV equation: Multiple-soliton and multiple singular soliton solutions. In this work, four (2+1)- ...
Four (2 + 1)-dimensional integrable extensions of the KdV equation: Multiple-soliton and multiple singular soliton solutions · A. Wazwaz. Mathematics. Applied ...
The multiple exp-function method is utilized for solving the multiple soliton solutions for the new (2+1)-dimensional Korteweg-de Vries equation, ...
In this work, we use the algebra of coupled scalars to develop two kinds of nonlinear integrable couplings of the modified Korteweg-de Vries (mKdV) equation ...
Jan 4, 2023 · Abstract. In this paper, we study the novel nonlinear wave structures of a (2+1)-dimensional variable- coefficient Korteweg–de Vries (KdV) ...
Sep 5, 2011 · A new (3+1)-dimensional Kadomtsev–Petviashvili equation, which is an extension of the new KdV equation, is developed and examined as well.
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Aug 17, 2023 · We present new (2+1)-dimensional extended KdV (KdV2) equation derived within an ideal fluid model. Next, we show several families of ...
Sep 20, 2023 · This work develops two higher-dimensional extensions for both Korteweg–de Vries (KdV) and modified KdV (mKdV) equations.
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