Lie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equations

Lie Group Method for Solving the Negative-Order Kadomtsev–Petviashvili Equation (nKP)

(2021) Ghaylen Laouini et al.   Symmetry-Basel

Optimal system, symmetry reductions and group-invariant solutions of (2+1)-dimensional ZK-BBM equation

(2021) Dig Vijay Tanwar   PHYSICA SCRIPTA

Symmetry analysis, closed-form invariant solutions and dynamical wave structures of the generalized (3+1)-dimensional breaking soliton equation using optimal system of Lie subalgebra

(2021) Monika Niwas et al.   Journal of Ocean Engineering and Science

A study of multi-soliton solutions, breather, lumps, and their interactions for kadomtsev-petviashvili equation with variable time coeffcient using hirota method

(2021) Sachin Kumar et al.   PHYSICA SCRIPTA

Nonautonomous complex wave solutions to the (2+1)-dimensional variable-coefficients nonlinear Chiral Schrödinger equation

(2020) Tukur Abdulkadir Sulaiman et al.   Results in Physics

Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method

(2020) Kottakkaran Sooppy Nisar et al.   Results in Physics

Optical solitons and other solutions to Biswas-Arshed equation using the extended simplest equation method

(2019) Elsayed M.E. Zayed et al.   OPTIK

Darboux transformation and analytic solutions for a generalized super-NLS-mKdV equation

(2019) Xue Guan et al.   NONLINEAR DYNAMICS

Optical soliton solutions to the generalized nonautonomous nonlinear Schrödinger equations in optical fibers via the sine-Gordon expansion method

(2019) Khaled K. Ali et al.   OPTIK

On Lie symmetries and soliton solutions of $$(2+1)$$(2+1)-dimensional Bogoyavlenskii equations

(2018) Mukesh Kumar et al.   NONLINEAR DYNAMICS

N-solitons and cuspon waves solutions of (2 + 1)-dimensional Broer–Kaup–Kupershmidt equations via hidden symmetries of Lie optimal system

(2018) M.M. Kassem et al.   CHINESE JOURNAL OF PHYSICS

Two new integrable Kadomtsev–Petviashvili equations with time-dependent coefficients: multiple real and complex soliton solutions

(2018) Abdul-Majid Wazwaz   Waves in Random and Complex Media

Bell-polynomial approach applied to the seventh-order Sawada–Kotera–Ito equation

(2013) Yu-Jia Shen et al.   APPLIED MATHEMATICS AND COMPUTATION

On the Integrability of a Generalized Variable-Coefficient Forced Korteweg-de Vries Equation in Fluids

(2013) Shou-Fu Tian et al.   STUDIES IN APPLIED MATHEMATICS

Nonlocal symmetries related to Bäcklund transformation and their applications

(2012) S Y Lou et al.   Journal of Physics A-Mathematical and Theoretical

Linear superposition principle applying to Hirota bilinear equations

(2011) Wen-Xiu Ma et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Exact solutions for the transformed reduced Ostrovsky equation via the -expansion method in terms of Weierstrass-elliptic and Jacobian-elliptic functions

(2011) Abdelhalim Ebaid et al.   WAVE MOTION

A symbolic algorithm for computing recursion operators of nonlinear partial differential equations

(2010) D. E. Baldwin et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Inverse scattering transform for the Degasperis–Procesi equation

(2010) Adrian Constantin et al.   NONLINEARITY