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Analyzing multi-peak and lump solutions of the variable-coefficient Boiti–Leon–Manna–Pempinelli equation: a comparative study of the Lie classical method and unified method with applications
This research article investigates the (2+1)-dimensional variable-coefficient Boiti–Leon–Manna–Pempinelli equation using the Lie classical method and...
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Wave interactions and structures of (4 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation
This article characterizes nonlinear wave propagation in an incompressible fluid by investigating an exact unique solution of the (4+1)-dimensional...
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Periodic-soliton and periodic-type solutions of the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation by using BNNM
This article focuses on the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. By using bilinear neural network method, the new test functions...
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Some new kink type solutions for the new (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation
Exact solutions of higher-dimensional nonlinear equations takes a major place in the study of nonlinear phenomena observed in nature. In this...
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Resonant multiple wave, periodic wave and interaction solutions of the new extended (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation
This paper is concerned with the new extended (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation (BLMPE), which is regarded as an extension of...
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Higher-order hybrid waves for the (2 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique
Fluids, as a phase of matter including liquids, gases and plasmas, are seen to be common in nature, the study of which helps the design in the...
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Rational solutions consisting of multiple lump waves and line rogue waves in different spaces of the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation in incompressible fluid
In this paper, a (3+1)-dimensional Boiti–Leon–Manana–Pempinelli equation in incompressible fluid is mainly considered to investigate the rational...
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Nonlinear localized waves resonance and interaction solutions of the (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation
This paper deals with localized waves in the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation in the incompressible fluid. Based on Hirota’s...
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The interference wave and the bright and dark soliton for two integro-differential equation by using BNNM
Interference wave is an important research target in the field of navigation, electromagnetic and earth science. In this work, the nonlinear property...
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Interaction of multiple superposition solutions for the \((4 + 1)\)-dimensional Boiti-LeonManna-Pempinelli equation
Water wave is one of the most common phenomena in nature, and its involves mathematical modeling, aerodynamics, computer simulation, mechanical...
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Multi-soliton solutions of a variable coefficient Schrödinger equation derived from vorticity equation
A variable coefficient Schrödinger equation which is derived by using the multi-scale expansion and coordinate expansion transformation method from...
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Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation
The main goal of the present study is to conduct a deeper investigation into a generalized Schrödinger equation describing the propagation of optical...
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Abundant lump-type solutions of the variable-coefficient Hirota–Satsuma–Ito equation
In this paper, a variable-coefficient symbolic computation approach is used for handling the (2+1)-dimensional variable-coefficient...
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Stabilities and interaction dynamics for flat-top bright soliton solutions of a generalized Gross-Pitaevskii(GGP(n,n)) equation with Gaussian-harmonic-radial PT-symmetric potential
The PT-symmetric Gross-Pitaevskii(GP) equation is presented, which is an important and useful model in Bose-Einstein condensation(BEC). The...
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Dynamical behavior of multiwave interaction solutions for the (3+1)-dimensional Kadomtsev-Petviashvili-Bogoyavlensky-Konopelchenko equation
The (3+1)-dimensional Kadomtsev-Petviashvili-Bogoyavlensky-Konopelchenko equation is used to simulate the evolution of shallow water waves with...
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Linear superposition formula of solutions for the extended (3+1)-dimensional shallow water wave equation
Active researches on the water waves have been done, and water waves are essentially complex waves controlled by gravity field and surface tension....
