Dark wave, rogue wave and perturbation solutions of Ivancevic option pricing model

Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo–Miwa equation

(2021) Run-Fa Zhang et al.   NONLINEAR DYNAMICS

On the Solutions of a (3+1)-Dimensional Novel KP-Like Equation

(2021) T. S. Moretlo et al.   Iranian Journal of Science and Technology Transaction A-Science

Novel interaction phenomena of the (3+1)-dimensional Jimbo–Miwa equation

(2020) Xiaomin Wang et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

N-lump and interaction solutions of localized waves to the (2+1)-dimensional variable-coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation

(2020) Jalil Manafian et al.   JOURNAL OF GEOMETRY AND PHYSICS

Lump-type solution and breather lump–kink interaction phenomena to a (\mathbf3{\varvec{+1}})-dimensional GBK equation based on trilinear form

(2020) Litao Gai et al.   NONLINEAR DYNAMICS

Various exact analytical solutions of a variable-coefficient Kadomtsev–Petviashvili equation

(2020) Jian-Guo Liu et al.   NONLINEAR DYNAMICS

Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method

(2020) Hari Mohan Srivastava et al.   PHYSICA SCRIPTA

Rational Solutions and Their Interaction Solutions of the (3+1)-Dimensional Jimbo-Miwa Equation

(2020) Xiaomin Wang et al.   Advances in Mathematical Physics

A novel analytical technique for the solution of time-fractional Ivancevic option pricing model

(2020) Rajarama Mohan Jena et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Abundant periodic wave solutions for fifth-order Sawada-Kotera equations

(2020) Muhammad Tahir et al.   Results in Physics

The general bilinear techniques for studying the propagation of mixed-type periodic and lump-type solutions in a homogenous-dispersive medium

(2020) Jian-Guo Liu et al.   AIP Advances

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

Investigation of solitons and mixed lump wave solutions with (3+1)-dimensional potential-YTSF equation

(2020) Muhammad Younis et al.   Communications in Nonlinear Science and Numerical Simulation

Collisions between lump and soliton solutions

(2019) Jian-Guo Liu   APPLIED MATHEMATICS LETTERS

Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation

(2019) Run-Fa Zhang et al.   NONLINEAR DYNAMICS

Analytical research of ( 3 + 1 $3+1$ )-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach

(2019) Yanwei Ren et al.   Advances in Difference Equations

Lump-type solutions and interaction phenomenon to the bidirectional Sawada–Kotera equation

(2019) Jalil Manafian et al.   PRAMANA-JOURNAL OF PHYSICS

One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada–Kotera equation

(2019) M. S. Osman   NONLINEAR DYNAMICS

New periodic wave, cross-kink wave and the interaction phenomenon for the Jimbo–Miwa-like equation

(2019) Runfa Zhang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Multi-solitons of Thermophoretic Motion Equation Depicting the Wrinkle Propagation in Substrate-Supported Graphene Sheets

(2019) Ahmad Javid et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Optical breathers and rogue waves via the modulation instability for a higher-order generalized nonlinear Schrödinger equation in an optical fiber transmission system

(2019) Hui-Min Yin et al.   NONLINEAR DYNAMICS

The new exact solutions of the Fifth-Order Sawada–Kotera equation using three wave method

(2019) Yanfeng Guo et al.   APPLIED MATHEMATICS LETTERS

The Logarithmic (1+1) $\boldsymbol{(1+1)}$-Dimensional KdV-Like and (2+1) $\boldsymbol{(2+1)}$-Dimensional KP-Like Equations: Lie Group Analysis, Conservation Laws and Double Reductions

(2019) İlker Burak Giresunlu et al.   INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Different wave structures and stability analysis for the generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation

(2019) M. S Osman et al.   PHYSICA SCRIPTA

Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3 + 1)-dimensional generalized breaking soliton equation

(2019) Litao Gai et al.   PHYSICS LETTERS A

Double-wave solutions and Lie symmetry analysis to the (2 + 1)-dimensional coupled Burgers equations

(2019) M.S. Osman et al.   CHINESE JOURNAL OF PHYSICS

Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation

(2019) Si-Jia Chen et al.   Communications in Nonlinear Science and Numerical Simulation

A (2+1)-dimensional breaking soliton equation: Solutions and conservation laws

(2018) Yakup Yıldırım et al.   CHAOS SOLITONS & FRACTALS

On breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Camassa–Holm–Kadomtsev–Petviashvili equation

(2018) Chun-Yan Qin et al.   Communications in Nonlinear Science and Numerical Simulation

General high–order breathers and rogue waves in the (3+1)-dimensional KP–Boussinesq equation

(2018) Baonan Sun et al.   Communications in Nonlinear Science and Numerical Simulation

Exact solutions of the Rosenau–Hyman equation, coupled KdV system and Burgers–Huxley equation using modified transformed rational function method

(2018) Yong-Li Sun et al.   MODERN PHYSICS LETTERS B

Lump, breather and solitary wave solutions to new reduced form of the generalized BKP equation

(2018) Lakhveer Kaur et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Complex simplified Hirota’s forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV–Sine-Gordon equation

(2018) Abdul-Majid Wazwaz et al.   NONLINEAR DYNAMICS

Abundant complex wave solutions for the nonautonomous Fokas–Lenells equation in presence of perturbation terms

(2018) Yao Ding et al.   OPTIK

A variety of nonautonomous complex wave solutions for the (2+1)-dimensional nonlinear Schrödinger equation with variable coefficients in nonlinear optical fibers

(2018) Jian-Guo Liu et al.   OPTIK

Lump and lump-soliton solutions to the Hirota–Satsuma–Ito equation

(2018) Yuan Zhou et al.   Communications in Nonlinear Science and Numerical Simulation

Multiple complex soliton solutions for integrable negative-order KdV and integrable negative-order modified KdV equations

(2018) Abdul-Majid Wazwaz   APPLIED MATHEMATICS LETTERS

An extended Korteweg–de Vries equation: multi-soliton solutions and conservation laws

(2017) Yakup Yıldırım et al.   NONLINEAR DYNAMICS

A multiple exp-function method for the three model equations of shallow water waves

(2017) Yakup Yildirim et al.   NONLINEAR DYNAMICS

The generalized (1+1)-dimensional and (2+1)-dimensional Ito equations: Multiple exp-function algorithm and multiple wave solutions

(2016) Abdullahi Rashid Adem   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Adaptive-Wave Alternative for the Black-Scholes Option Pricing Model

(2010) Vladimir G. Ivancevic   Cognitive Computation

The extended tanh method for new compact and noncompact solutions for the KP–BBM and the ZK–BBM equations

(2007) Abdul-Majid Wazwaz   CHAOS SOLITONS & FRACTALS