Abstract The (2+ 1)-dimensional nonlinear asymmetric Nizhnik-Novikov-Veselov system is
one of the extended versions of the Korteweg-de Vries equation, and as such of …

In this paper, we study the novel nonlinear wave structures of a (2+ 1)-dimensional variable-
coefficient Korteweg–de Vries (KdV) system by its analytic solutions. Its N-soliton solutions …

With the help of an improved mapping approach and a linear-variable-separation approach,
a new family of exact solutions with arbitrary functions of the (2+ 1)-dimensional Nizhnik …

In this paper, we investigate the nonlinear dynamics of an interesting class of vector solitons
in the two-component modified Korteweg–de Vries (mKdV) equation. We construct the …

Abstract In this work, the (2+ 1 2+1)-dimensional asymmetrical Nizhnik–Novikov–Veselov
equation is investigated. Hirota's bilinear method is used to determine the N-soliton …

In this paper, a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids
is investigated. With symbolic computation, such equation is transformed into its bilinear …

Starting from an extended mapping method and a linear variable separation method, new
families of variable separation solutions (including solitary wave solutions, periodic wave …

Abstract The (2+ 1)-dimensional Korteweg–de Vries (KdV) equation is studied by distinct
methods. The parameter limit method is used to derive multi-breathers solutions and lump …

Abstract Korteweg–de Vries (KdV)-type equations describe certain nonlinear phenomena in
fluids and plasmas. In this paper, three-coupled KdV equations corresponding to the …

Korteweg–de Vries-type equations are seen to describe the shallow water waves, stratified
internal waves, ion-acoustic waves, plasma physics and lattice dynamics, an isotropic …