Abundant solitary wave solutions of Gardner's equation using three effective integration techniques

Traveling wave solutions of the Gardner equation in dusty plasmas

(2022) Kang-Jia Wang   Results in Physics

Soliton Resolution for the Wadati–Konno–Ichikawa Equation with Weighted Sobolev Initial Data

(2022) Zhi-Qiang Li et al.   ANNALES HENRI POINCARE

Riemann–Hilbert problem and dynamics of soliton solutions of the fifth-order nonlinear Schrödinger equation

(2022) Jin-Jie Yang et al.   APPLIED MATHEMATICS LETTERS

Riemann–Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions

(2022) Jin-Jie Yang et al.   PHYSICA D-NONLINEAR PHENOMENA

Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles

(2022) Xiaofan Zhang et al.   Advances in Applied Mathematics and Mechanics

Soliton resolution for the complex short pulse equation with weighted Sobolev initial data in space-time solitonic regions

(2022) Zhi-Qiang Li et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

On the soliton resolution and the asymptotic stability of N-soliton solution for the Wadati-Konno-Ichikawa equation with finite density initial data in space-time solitonic regions

(2022) Zhi-Qiang Li et al.   ADVANCES IN MATHEMATICS

Formation of the undular bores in shallow water generalized Kaup–Boussinesq model

(2022) Ruizhi Gong et al.   PHYSICA D-NONLINEAR PHENOMENA

Stationary transmission through lattices with asymmetric nonlinear quadratic-cubic defect

(2022) Muhammad Abdul Wasay et al.   PHYSICS LETTERS A

Exotic vector freak waves in the nonlocal nonlinear Schrödinger equation

(2022) Xiu-Bin Wang et al.   PHYSICA D-NONLINEAR PHENOMENA

Bright, dark, kink, singular and periodic soliton solutions of Lakshmanan–Porsezian–Daniel model by generalized projective Riccati equations method

(2021) Ghazala Akram et al.   OPTIK

Effects of fractional order time derivative on the solitary wave dynamics of the generalized ZK–Burgers equation

(2021) Naeem Faraz et al.   Results in Physics

Integrable discretizations and soliton solutions of an Eckhaus–Kundu equation

(2021) Shou-Fu Tian et al.   APPLIED MATHEMATICS LETTERS

The Complete Classification of Solutions to the Riemann Problem of the Defocusing Complex Modified KdV Equation

(2021) Deng-Shan Wang et al.   JOURNAL OF NONLINEAR SCIENCE

Nonlinear wave transitions and their mechanisms of (2+1)-dimensional Sawada–Kotera equation

(2021) Zhe-Yong Yin et al.   PHYSICA D-NONLINEAR PHENOMENA

A symmetry-preserving difference scheme and analytical solutions of a generalized higher-order beam equation

(2021) Shou-Fu Tian et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Method for finding highly dispersive optical solitons of nonlinear differential equations

(2020) Nikolay A. Kudryashov   OPTIK

Applications of three methods for obtaining optical soliton solutions for the Lakshmanan–Porsezian–Daniel model with Kerr law nonlinearity

(2020) Hadi Rezazadeh et al.   PRAMANA-JOURNAL OF PHYSICS

Construction of soliton solutions for modified Kawahara equation arising in shallow water waves using novel techniques

(2020) Naila Nasreen et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS B

Nonautonomous soliton solutions of variable-coefficient fractional nonlinear Schrödinger equation

(2020) Gang-Zhou Wu et al.   APPLIED MATHEMATICS LETTERS

Multichannel asymmetric transmission through a dimer defect with saturable inter-site nonlinearity

(2020) Muhammad Abdul Wasay et al.   Journal of Physics A-Mathematical and Theoretical

Exact Traveling Wave Solutions of the Gardner Equation by the Improved tanΘϑ-Expansion Method and the Wave Ansatz Method

(2020) Hatıra Günerhan   MATHEMATICAL PROBLEMS IN ENGINEERING

Matrix Spectral Problems and Integrability Aspects of the Błaszak-Marciniak Lattice Equations

(2020) Deng-Shan Wang et al.   REPORTS ON MATHEMATICAL PHYSICS

M-lump, N-soliton solutions, and the collision phenomena for the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

(2020) Hajar F. Ismael et al.   Results in Physics

Enhanced nonreciprocal transmission through a saturable cubic-quintic nonlinear dimer defect

(2019) Muhammad Abdul Wasay et al.   Scientific Reports

Optical solitons with complex Ginzburg–Landau equation having three nonlinear forms

(2019) Saima Arshed et al.   PHYSICS LETTERS A

New Solutions of Gardner's Equation Using Two Analytical Methods

(2019) Behzad Ghanbari et al.   Frontiers in Physics

Riemann–Hilbert problems and N-soliton solutions for a coupled mKdV system

(2018) Wen-Xiu Ma   JOURNAL OF GEOMETRY AND PHYSICS

Asymmetric wave transmission through one dimensional lattices with cubic-quintic nonlinearity

(2018) Muhammad Abdul Wasay   Scientific Reports

Long-time asymptotics of the focusing Kundu–Eckhaus equation with nonzero boundary conditions

(2018) Deng-Shan Wang et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Exact Solutions of the Gardner Equation and their Applications to the Different Physical Plasmas

(2016) D. Daghan et al.   BRAZILIAN JOURNAL OF PHYSICS

The generalized projective Riccati equations method and its applications for solving two nonlinear PDEs describing microtubules

(2015) M E Zayed Elsayed et al.   International Journal of Physical Sciences

The (ω/g)-expansion method and its application to Vakhnenko equation

(2009) Li Wen-An et al.   Chinese Physics B

Prolongation structures and exact solutions of K(m,n) equations

(2009) Deng-Shan Wang et al.   JOURNAL OF MATHEMATICAL PHYSICS