Abundant Lump-Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model

<div>Proportion sight of the solution equation (<a href="https://static.hindawi.com/articles/amp/volume-2018/9178480/figures/#EEq8">8</a>) with (<a href="https://static.hindawi.com/articles/amp/volume-2018/9178480/figures/#EEq6">6</a>) and (<a href="https://static.hindawi.com/articles/amp/volume-2018/9178480/figures/#EEq5">5</a>). For arbitrary constant values, <span class="nowrap"><svg height="11.6399pt" id="M18" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -8.34882 230.321 11.6399" width="230.321pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M545 106L524 126C493 85 467 65 455 65C438 65 427 113 405 238C448 295 498 362 543 439L533 448L478 435C453 386 423 331 398 295H395C370 404 347 448 282 448C169 448 23 309 23 153C23 54 65 -12 128 -12C203 -12 283 70 339 155H341C360 29 380 -12 411 -12C444 -12 491 11 545 106ZM333 204C265 95 210 54 169 54C137 54 113 96 113 171C113 302 191 405 252 405C301 405 318 306 333 204Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.059,3.132)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 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(d-e) Consistent contour plot of (a), (b). 2D plot present in (f) for various values of y.</div>

Advances in Mathematical Physics

fig1

Figure 1

Figure 1: Abundant Lump-Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model 