Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations

Bell Polynomials Approach Applied to (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation

“…However, the multisoliton solutions cannot be derived by means of bilinear equation (24). For the sake of obtaining multisoliton solutions of (2), we take…”

“…Equation (1) is first proposed by Konopelchenko and Dubrovsky [21] and then considered by many authors in various aspects such as its quasiperiodic solutions [22], algebraic-geometric solution [23], -soliton solutions [24], nonlocal symmetry [25], and symmetry reductions [26]. Based on (1), we will consider a (2 + 1)-dimensional variablecoefficient CDGKS equation as…”

On the integrability of the (1+1)‐dimensional and (2+1)‐dimensional Ito equations

“…As is well known, bilinear representation, bilinear Bäcklund transformation (BT), Lax pair, and multi‐soliton solutions are very important properties of many integrable systems. Among the methods, which are used to research on this topic, the Hirota bilinear method is applied most widely till now . The key of Hirota bilinear method is through a dependent variable transformation to put the original nonlinear evolution equation (NLEE) into a form where the new dependent variable(s) appears bilinear.…”

One and two soliton solutions for seventh-order Caudrey-Dodd-Gibbon and Caudrey-Dodd-Gibbon-KP equations

“…Soliton is an important feature of nonlinearity caused by a balance of nonlinearity and linear dispersion [1][2][3][4][5][6][7][8]. Soli- * E-mail: wazwaz@sxu.edu ton has localization and stabilization.…”

“…The KP equation describes the evolution of quasi-one dimensional shallow-water waves when effects of the surface tension and the viscosity are negligible. The standard form of the seventh-order Caudrey-DoddGibbon (CDG) equation [1][2][3] …”